The prime factorizations of the denominators of and are given below: 14p = 2(7)(p) 8p2 = 2(2)(2)(p)(p) Identify the LCD of and . LCD = What is each expression multiplied by to create an equivalent rational expression containing the common denominator? ( ) = ( ) =

Answer:

[tex]LCD = 56p^2[/tex]

[tex]Expression = 4p[/tex] --- for 14p

[tex]Expression =7[/tex] ------ for 8p²

Explanation:

Given

[tex]14p = 2(7)(p)[/tex]

[tex]8p^2 = 2(2)(2)(p)(p)[/tex]

Required

Determine the LCD

To determine the LCD, we list out the union of the  factors:

i.e.

[tex]LCD = 2 * 7 * 2 * 2 * p * p[/tex]

[tex]LCD = 56 * p^2[/tex]

[tex]LCD = 56p^2[/tex]

To solve the (b) part;

Divide each the LCD by each expression

For 14p;

We have:

[tex]Expression = \frac{56p^2}{14p}[/tex]

[tex]Expression = \frac{4 * 14 * p * p}{14 * p}[/tex]

[tex]Expression = 4 * p[/tex]

[tex]Expression = 4p[/tex]

For 8p²

We have:

[tex]Expression = \frac{56p^2}{8p^2}[/tex]

[tex]Expression = \frac{7 * 8 * p^2}{8 * p^2}[/tex]

[tex]Expression =7[/tex]

Answer:

1. C - 2(2)(2)(7)(p)(p)

2. B - 4p/4p

3. C - 7/7

Explanation:

edge 2020

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B. Abstract perspective
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The perimeter of a rectangle is 50 inches. Its width measures 11 inches. What is its length? Let x = the length of the rectangle. Choose the equation that represents this problem.​

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37. ___ com-
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On Women's Right to Vote
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Select all the correct answers.
Friends
ellow citizens: stand before you tonight under
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Reset
Next
our posterity, but to the whole people-women as well as men.
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