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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

Problems 63-112 should help you pull together all of the factoring techniques of this chapter. Factor completely each polynomial, and indicate any that are not factorable using integers. (Objective 4)

125 a 3 - 64 b 3 .

To determine

To factor:

The given trinomial 125a3-64b3.

Explanation

Procedure:

Step-1:

Rewrite the given trinomial to the appropriate form.

Step-2:

Use difference of cube formula a3-b3=a-ba2+ab+b2.

Step-3:

Simplify and get the solution.

Calculation:

Given trinomial: 125a3-64b3

Rewriting the given trinomial, we get

125a3-64b3=5a3-4b3.

Using the difference of cube formula, we get

5a3-4b3=5a-4b5a

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