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Chapter 6: Q. 261 (page 613)

In the following exercises, factor completely.

10m4-6250

Short Answer

Expert verified

The required factors are10(m2+25)(m+5)(m-5)

Step by step solution

01

Step 1. Given Information

The given expression is10m4-6250

02

Step 2. Calculation

We will find the factors by taking common factor out from the expression and then use the difference of square patterns.
10m4-6250=10(m4-625)=10((m2)2-(25)2)=10(m2+25)(m2-25)=10(m2+25)(m2-52)=10(m2+25)(m+5)(m-5)

03

Step 3. Check

We will verify the factors by multiplying the factors.

10(m2+25)(m+5)(m-5)=10(m2+25)(m2-52)=10(m2+25)(m2-25)=10((m2)2-(25)2)=10(m4-625)=10m4-6250

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