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Chapter 6: Q. 403 (page 636)

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.

2m3+54

Short Answer

Expert verified

The simplified factor is2(m+3)(m2-3m+9)

Step by step solution

01

Step 1. Given information.

The polynomial expression given is

2m3+54.

To find factor using sum and difference of cube following formula are used,

(a3-b3)=(a-b)(a2+ab+b2)(a3+b3)=(a+b)(a2-ab+b2)

02

Step 2. Calculate the expression.

2m3+54=2(m3+27)=2((m)3+33)=2(m+3)(m2-3m+9)

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