Chapter 11: Q. 6.11 (page 1069)

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

Short Answer

Expert verified

The factored form is $\begin{array}{rcl} (m + 3) (4 m - 7) \end{array}$ .

Step by step solution

Step 1. Given Information

The given expression is $4 m (m + 3) - 7 (m + 3)$

Step 2. Rewrite the given expression

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

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

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

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

Step 3. Check

Multiply the obtained factors.

$\begin{array}{rcl} (m + 3) (4 m - 7) & = & (m + 3) \cdot 4 m - (m + 3) \cdot 7 \\ = & 4 m (m + 3) - 7 (m + 3) \end{array}$

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

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Rewrite the given expression

Step 3. Check

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Rewrite the given expression

Step 3. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Applied Mathematics

Statistics

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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