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Chapter 6: Q. 6.77 (page 609)

Factor completely: 250m3+432n3

Short Answer

Expert verified

The required factors are2(5m+6n)(25m2-30mn+36n2)

Step by step solution

01

Step 1. Given Information 

The given expression is250m3+432n3

02

Step 2. Calculation 

We will factor the expression by taking the common factor outside the paranthesis and then apply the property.

250m3+432n3=2(125m3+216n3)=2((5m)3+(6n)3)=2(5m+6n)(25m2-30mn+36n2)

03

Step 3. Check

We will verify by multiplying the factors.

2(5m+6n)(25m2-30mn+36n2)=2((5m)3+(6n)3)=2(125m3+216n3)=250m3+432n3

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