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Chapter 7: Q. 425 (page 899)

Factor Differences of Squares

In the following exercises, factor.

20x2-125

Short Answer

Expert verified

the factors for20x2-125=5(2x+5)(2x-5)

Step by step solution

01

Step 1. Given information

The given differences of squares 20x2-125

02

Step 2. Finding the factors for given differences of squares

We can take 5 as common from given differences of squares as follows 20x2-125=5(4x2-25)

We can find the factors as follows

Use the sum product pattern

5(4x2-25)=5(4x2+10x-10x-25)

Common factors from the two pairs

5(2x(2x+5)-5(2x+5))

Rewrite in factored form

5(2x+5)(2x-5)

Therefore,the factors for20x2-125=5(2x+5)(2x-5)

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Factor Differences of Squares

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