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Chapter 6: Q. 221 (page 604)

In the following exercises, factor completely.

125-8y3

Short Answer

Expert verified

The simplified expression is5-2y25+10y+4y2

Step by step solution

01

Step 1. Given Information

The given expression is125-8y3

02

Step 2. Calculation

As we know the identity, a3-b3=(a-b)(a2+ab+b2)where a and b are real numbers.

Now, we will use the identity to simplify the expression,

role="math" localid="1644566126029" 125-8y3=(5)3-(2y)3=(5-2y)(52+5脳2y+(2y)2)=(5-2y)(25+10y+4y2)

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