Expand and combine like terms.

(4b^2+3)(4b^2-3)

Answer:

16b^4-9

Step-by-step explanation:

Factoring gives us 16b^4+12b^2-12^2-9. Simplifying gives us the answer which is 16b^4-9

Answer:

[tex]16b^4-9[/tex]

Step-by-step explanation:

When multiplying binomials, we can use a method called FOIL (First-Outside-Inside-Last).

For [tex](t_1+t_2)(t_3+t_4)[/tex], let:

[tex]t_1\implies \text{First Term},\\t_2\implies \text{Second Term},\\t_3\implies \text{Third Term},\\t_4\implies \text{Fourth Term}[/tex]

In the FOIL method, the steps go:

[tex]\text{\textbf{F}irst: Multiply the first and third terms (first term of each binomial)},\\\text{\textbf{O}utside: Multiply the first and fourth terms},\\\text{\textbf{I}nside: Multiply the second and third terms},\\\text{\textbf{L}ast: Multiply the second and fourth terms (last term of each binomial) }[/tex]

Given [tex](4b^2+3)(4b^2-3)[/tex], we have:

[tex]\text{First: }4b^2\cdot 4b^2,\\\text{Outside: }4b^2\cdot -3,\\\text{Inside: }3\cdot 4b^2,\\\text{Last: }3\cdot -3,\\\rightarrow 16b^4-12b^2+12b^2-9[/tex]

Combine like terms:

[tex]\boxed{16b^4-9}[/tex]

The wheels ona bike have a diameter of 26 inches. How many full revolutions will the wheels need to make to travel 100 feet?

You are using a hose to fill up your backyard swimming pool on a hot day. Water flows out of the hose at a rate of 6 gallons per minute. In the equation below, m is the number of minutes the hose has been running, and g is the number of gallons of water in the pool.
The relationship between these two variables can be expressed by the following equation:
g=6m,
Identify the dependent and independent variables.

Enter a digit in each box to complete the division problem.

Select the correct answer.
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11

What is 50% of 174.95?Thanks.

A.1.5
B.9
C.20
D.22
plsss answer as fast as u can

the first person that answers and there answer is correct i will give u brainliest

Help! Find the answers pleaseeeeee

Brain to first correct answer

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I'LL GIVE YOUR A BRAINLST

Find the volume! It’s due soon.

Harry collects data from a random sample of seventh-graders. Out of 25 respondents, 10 ride the bus home. Of the 150 seventh-graders who attend Harry’s school, how many would be expected to ride the bus to school?

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.


Solve the following equation.




[tex]\frac{5}{13} t = -9[/tex]

Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on sale for 20% off. He has to pay 5% sales tax on the sale price of the bicycle.

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Which integer represents a gain of 4 yards in a football game?

Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card randomly from the deck, records its type, and replaces it in the deck. Jamie has already recorded nine baseball cards and 11 football cards. Based on these data, what is, most likely, the number of baseball cards in the deck?

A. 20
B. 22
C. 25
D. 27

Please don't just give me an answer please give me a explanation because I'd like to know how to do this equation next time it seems so familiar but I just can't remember besides if you do I'll give you brainly ! = )

Find each percent of change. State whether the percent increase or decrease. Please show your work.
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please help -

Mr. Day bought a lawn mower with his credit card for $400. The interest rate on the card is 24% (0.24) per year. If payment is not made on time, the credit card company charges a late fee of $30. Mr. Day does not make a payment for the first month. What would be the interest, late fee, and new total he owes?

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve,
4x + 6 < -6

Brain to first correct answer!

Look at the two patterns below: Pattern A: Starts from 9 and follows the rule "add 8" Pattern B: Starts from 9 and follows the rule "add 2" Select the statement that is true. The terms in Pattern A are 4 times the corresponding terms in Pattern B The terms in Pattern B are one fourth the corresponding terms in Pattern A. The first five terms in Pattern A are 0, 9, 17, 26, 35. The first five terms in Pattern B are 9, 11, 13, 15, 17.

can yall please help me, include steps

Need help with third question!!!!!!!!!!

Please explain for me. Thx/5 star/brainliest/19 pts/ cookie

can someone help me with this question? i’ll mark as brainliest if correct! thanks

Question on file. 30 pts. pls help

Taivon is training for a running and biking race. The biking part of the race is longer than the running part, so while Taivon trains, he wants to bike more than he runs. He decides that for every 4 miles he runs, he wants to bike 16 miles. How far should Taivon bike if he runs 8 miles?

help plzzzzzzzzzzzzzzzzzzzzz

4) Last week Kathryn ran 8.6 miles more
than Jaidee. Kathryn ran 22.3 miles. How
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Can someone help me with this question? I’ll mark as brainliest if correct!