factor: a^2+b^2–c^2+2ab

Answers

Answer 1

Rearrange the polynomial:

a^2–2ab+b^2 - c^2

((a-b)(a-b))-c^2

(a-b)^2-c^2

Set x =a-b and y=c. The formula becomes

x^2-y^2

factoring this polynomial, we get

(x+y)(x-y)

Substituting back, we get:

(a+b+c)(a+b-c)

Let’s multiply it out to check:

A^2 -ab ac

- ab B^2 -bc

-ac bc -c^2

Answer 2

Answer:

(a + b + c)(a + b - c)

Step-by-step explanation:

Use of formula:

(a+b)^2 = a^2 + 2ab + b^2a^2 - b^2 = (a + b)(a - b)

Factoring the expression

a^2 + b^2 – c^2 + 2ab =(a^2 + 2ab + b^2) - c^2 = (a + b)^2 - c^2 =(a + b + c)(a + b - c)

Related Questions

I need help and quick please

Answers

Answer:

1. Shade 17 2. 43% 3. 5745.9

Step-by-step explanation: Try this?

Write the number in expanded form: Three hundred twenty-six thousand, five hundred eight and nine hundredths?

Answers

Answer: 300,000 + 20,000 + 6,000 + 500 + 8 + 0.09

The required expanded form of three hundred twenty-six thousand, five hundred eight and nine hundredths, 300,000 + 20,000 + 6,000 + 500 + 80 + 0.09.

Given that,
To determine the expanded form: Three hundred twenty-six thousand, five hundred eight and nine hundredths.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.


Here,
Three hundred twenty-six thousand, five hundred eight and nine hundredths = 326580.09
The expanded form of a number is the sum of the digit with the intrinsic value of the digit placed in the number,
Expanded form = 300,000 + 20,000 + 6,000 + 500 + 80 + 0.09.

Thus, the required expanded form of three hundred twenty-six thousand, five hundred eight and nine hundredths, 300,000 + 20,000 + 6,000 + 500 + 80 + 0.09.

Learn more about the number system here:

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Marcus is making homemade barbecue sauce.The recipe caps for 3 cups of ketchup for every 1/2 cup of mustard

Answers

Answer:

3 divided  by 1/2

Step-by-step explanation:

turn 3 into 3/1  then flip 1/2 into 2/1 and multiply which is 6

Kcf

Keep

Change

Flip

What’s the question???

which integers between square 30 and square 40
[tex]\sqrt{x}[/tex]

Answers

Answer:

6

Step-by-step explanation:

The only integer whose square is between 30 and 40 is 6.

30 < x^2 < 40.

65 and 2 so explanation I really want some points

need help asap how do you right this in number form?
the sum of two-thirds of a number and twenty

Answers

2/3n+20
I put n for number because that’s what my teacher usually uses. But maybe x is fine too, but n is probably better.

Answer:

the answer is

2/3+20 so give me brainliest

A retail store is open for 8 hours each day. During a 5-day period, the store had 960 shoppers. Assume that the store had the same number of shoppers each hour during the 5-day period.
The number of shoppers each day is _
, and the number of shoppers each hour is _
.

Answers

Answer: 192 shoppers each day and 24 shoppers each hour

Step-by-step explanation:

-Each day= number of shoopers/number of days=960/5

=192 shoppers each day

-each hour per day=number of shoppers per day/number of hours per day

=192/8

=24 shoppers per hour

PLEASE HELP,I AM BEING TIMED!!
Measure the angle of 2

Options: 100
120
30
60

Answers

Answer:

120

Step-by-step explanation:

good luck

Answer:

Step-by-step explanation:

x + 60 = 180

x = 120°

Evaluate the expression when a = 6, b = 3 and c = 2:
2(a + b) – c = ______?

Answers

Answer:

16

Step-by-step explanation:

2(6+3)-2 = 2(9)-2 = 18-2 = 16

PLEASE ANSWER QUICK The vertex of

Answers

Answer:

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form , the vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if .

Step-by-step explanation:

Please help . Easy 7th grade work , I’ll give brainliest

Answers

Answer:

3. the answer is 5 degrees

4. 8 points

5. 56

6.24

Step-by-step explanation:

Bruno uses a piece of wrapping paper with dimensions 1 and one-fourth feet by 3 feet to wrap a gift. What is the total area of the paper used to wrap the gift?

Answers

3 and 3 fourths or 3.75 would be the answer to this problem. We can get this by simply just converting 1 and one fourth to a decimal which would be 1.25 and then multiplying that by 3.

Answer:

Its 3 3/4 or D

Step-by-step explanation:

Just in case you didn’t understand answer above

Get help
☺ Krutika was thinking of a number. Krutika divides by 7, then adds 8 to get an answer of 5. What
was the original number?
O Report an
® Quit asses

Answers

Answer:

-21

Step-by-step explanation:

I used the backward method

She adds 8 to get 5.

So we start with 5 and subtract 8

5-8 = -3

She divides by 7 but since we are using the backwards method, we have to multiply.

-3*7= -21

After that, we can check our answer

Krutika was thinking of -21

-21/7= -3

-3+8= 5

-21 is the answer

Hope this helps!

Answer:

x=−0.4285714286

Step-by-step explanation:

(x÷7)+8=5

x/7=5-8

x=(5-8)/7

x=−0.4285714286

math question please help!!!

Answers

Answer:

i think it c

Step-by-step explanation:

sorry if i wrong

can someone pls help with this brainliest gets answer

Answers

Answer:

1. True; 10, 20, 50, 100, 1210 are all divisible by 10.

2. True; prime numbers: 2, 3, 5, 7, 11, 13. Only 2 is even.

3. False; 144 is a perfect square and has 15 factors.

4. False; x = 9 in this equation, so x = 4 is false.

If the value the discriminant is exactly 0, what is true about the graph of the quadratic equation?

Answers

A discriminant of zero means the quadratic equation has one real root. In other words, the only part of the parabola touch the x axis is the vertex. The vertex is the bottom of the parabola.

An example is provided in the attached picture

The truth about the graph of the quadratic equation would be the vertex of the parabola connects the x-axis when the value of the discriminant is exactly zero.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

When discriminant D of a quadratic equation,

D = 0

Roots are equal and real

D > 0

Roots are real and different

D < 0

Roots have not existed.

When the discriminant is zero, there is only one real root to the quadratic equation. In other words, only the vertex of the parabola connects the x-axis. The vertex is the parabola's base.

Therefore, the truth about the graph of the quadratic equation would be the vertex of the parabola connects the x-axis when the value of the discriminant is exactly zero.

Learn more about quadratic function here:

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6x-4 and 6(x-4) *
A: Yes, they are equivalent
B: No, they're not equivalent

Answers

Answer:

yes they are equivalent

2 MULTIPLE CHOICE EASY!! In July, Ariel recorded the height of a pine tree and how quickly it was expected to grow in the next several months.

1. 14$ or 12$ ??

2. $4.50 or $5.50


3.
Y= 4.5X + 22
or
Y= 4.5X +12

Answers

Answer:

3

Step-by-step explanation:!!

A number x is more than 9 units from 14

Answers

Answer:

X=9+14

X=23

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

x = 14+9 = 23

Janie has $48 in her checking account. If she writes a check for $19, find her new account balance.

Answers

Answer:

29

Step-by-step explanation:

48 - 19

youre welcome!!!

29 would be your answer

What is the selling price of a $610 couch with a 25% markup?
a. $152.5b. $762.5c. $457.5d. $798.5

pls answer quickly ! :(

Answers

Answer:

762.5

Step-by-step explanation:

25% of 610 is 152.5 and 610 + 152.5 is 762.5

Hope this helped also can i get brainliest?

the sides of a triangle measure 3√6 2√24 7√54 what is the perimeter of the triangle

Answers

Answer:

Step-by-step explanation:

3*√6 + 2√24 + 7√54= P

3√6 + 2√2*2*6 + 7√3*3*6

3√6 + 2*2√6+7*3√6

3√6 + 4√6 + 21√6

28√6 = the perimeter.

2. Every month, Jenny and Gopal ________ the orphanages in China. They have been to five orphanages so far.

(A) visit (B) visits (C) visited (D) visiting



3. It has not been raining ________ yesterday.

(A) after (B) since (C) when (D) before



4. A pride of peacocks ________ showing off their lovely feathers now.

(A) is (B) are (C) was (D) were



5. Every cent ________, so we should spend our money wisely.

(A) count (B) counts (C) counted (D) counting



6. We are always reminded to visit the dentist twice a year, so I visit my dentist ________.

(A) weekly (B) monthly (C) annually (D) biannually



7. The news that you heard ________ broadcast on television last night.

(A) is (B) are (C) was (D) were



8. Rita was sleeping ________ I arrived at her apartment.

(A) as (B) when (C) while (D) since



9. “There is a knock on the door. Who can be calling ________ us at this late hour?” Mother wondered.

(A) to (B) at (C) on (D) upon



10. My parents ________ going on a one week cruise to Thailand.

(A) is (B) am (C) are (D) was

Answers

Visit
Since
Is
Counts
Biannually
Was
When
?To

Given g(c) = f(x) + k, enter the value for k that transforms the function f into g?

k =

Answers

k=-3 hope this helps u dude

Translation involves changing the position of a shape or line or point.

The value of k is -3

The given parameter is:

[tex]\mathbf{g(x) = f(x) + k}[/tex]

From the attached graph, we can see that the line of f(x) is shifted down by 3 units to form g(x).

This means that:

[tex]\mathbf{g(x) = f(x) - 3}[/tex]

By comparing: [tex]\mathbf{g(x) = f(x) - 3}[/tex] and [tex]\mathbf{g(x) = f(x) + k}[/tex]

We have:

[tex]\mathbf{k = -3}[/tex]

Hence, the value of k is -3

Read more about translations at:

https://brainly.com/question/12463306

Y + 2 = 1/2(x+2) wht is the awnser

Answers

Answer is X=2
2=1/2x+1
4=x+2
-x=2-4
-x=-2
X= 2

fill in the blank to make the equation have infinite solutions
0.01(450x+900)=___x+9

Answers

4.5
Hope to help you.have a good day!

if 16+4=20 does 16+4-4=20-4? why or why not​

Answers

Answer:

yes

Step-by-step explanation:

it does because they har a triangle of numbers

PT= 3x+7 and TQ=5x-7

Answers

3x+7=5x-7
Subtract 3x on both sides, 7= 2x-7
Add 7 on both sides, 14=2x
Divide 2 on both sides, x=7

here's this idk its math ig

Answers

Answer:

this is why you pay attention in school kids.

Step-by-step explanation:

any ways i never learned how to do long division but the answer is a decimal

If a translation is described as (x -5, y), how has the original image changed?

Answers

Answer:

It moves the x value 5 units to the left.

Step-by-step explanation:

"x - 5" means that we are subtracting 5 to whatever x value we are given. The "y" value doesn't change.

Since we are subtracting to the x value, we are going to move left 5 units.

Let's say we had the point (5, 5).

If we use the translation rule;

(5 - 5, 5)

(0, 5)

We moved the x value 5 units to the left.

Best of Luck!

Please help ILL MARK BRAINLIEST(17 points too)

Please don’t just answer something random to get points that’s mean:(

Answers

Answer:

5, 10, 15, 20, 25, 30

6, 12, 18, 24, 30

Answer: 30

3, 6, 9, 12, 15, 18, 21, 24

24

Answer: 24

14, 28

4, 8, 12, 16, 20, 24, 28, 32

Answer: 28

Hoped it helped :)

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