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Chapter 7: Q. 442 (page 900)

In the following exercises, factor completely.

b3-64

Short Answer

Expert verified

The factored form is(b-4)b2+4b+16

Step by step solution

01

Given information

Given expressionb3-64

02

Apply difference of cubes formula and calculate

Calculating, we get

b3-64=(b-4)(b2+4b+42)b3-64=(b-4)(b2+4b+16)

03

Checking by multiplying

Checking, we get

(b-4)b2+4b+16=b(b2+4b+16)-4(b2+4b+16)(b-4)b2+4b+16=b3+4b2+16b-4b2-16b-64(b-4)(b2+4b+16)=b3-64

So this is true

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