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? ( ) = ( ) =

--- for 14p

------ for 8p²

Explanation:

Given

Required

Determine the LCD

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

i.e.

To solve the (b) part;

Divide each the LCD by each expression

For 14p;

We have:

For 8p²

We have:

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