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Factor:4m(m+3)-7(m+3).

Short Answer

Expert verified

The factored form is(m+3)(4m-7).

Step by step solution

01

Step 1. Given Information

The given expression is4m(m+3)-7(m+3)

02

Step 2. Rewrite the given expression    

  • Express each of the term of the given expression as a product of GCF, m+3.

localid="1661475888161" (m+3)4m-(m+3)7

  • Use the reverse distributive property, localid="1661475904769" ab-ac=a(b-c)to rewrite the obtained expression.

localid="1661475937561" (m+3)4m-(m+3)7=(m+3)(4m-7)

03

Step 3. Check

  • Multiply the obtained factors.

(m+3)(4m-7)=(m+3)4m-(m+3)7=4m(m+3)-7(m+3)

  • Since the obtained expression is the same as the given expression, the obtained factors are verified.

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