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Chapter 6: Q. 455 (page 638)

In the following exercises, factor completely.

x3+125

Short Answer

Expert verified

On factoring, we get x+5x2-5x+25.

Step by step solution

01

Step 1. Given information.

Consider the given question,

x3+125

Write using the sum of cubes pattern,

=x3+53

Factor out,

role="math" localid="1644846379734" =x+5x2-5x+25

02

Step 2. Check the answers.

Check by multiplying,

=x+5x2-5x+25=x3-5x2+25x+5x2-25x-125=x3-125

This is true.

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