Chapter 6: Q 47E (page 572)

Factor by Grouping
In the following exercises, factor by grouping.
$m n - 6 m - 4 n + 24$ .

Short Answer

Expert verified

The obtained factors by using the grouping method for the given expression $m n - 6 m - 4 n + 24$ are, $(n - 6) (m - 4)$ .

Step by step solution

Given expression is,

$m n - 6 m - 4 n + 24$ .

The objective is, we need to find the factors for the given expression by using the grouping method.

First group the terms with the common factors.

$m n - 6 m - 4 n + 24 = (m n - 6 m) + (- 4 n + 24)$

Now factor out the common terms from each group.

$m n - 6 m - 4 n + 24 = m (n - 6) - 4 (n - 6) = (n - 6) (m - 4)$

The obtained factors for the given expression is, $(n - 6) (m - 4)$ .

Step 3 let us check the answer by multiplying the factors.

$(n - 6) (m - 4) = n m - 4 n - 6 m + 24 = m n - 6 m - 4 n + 24$

which is true.

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Factor by Grouping
In the following exercises, factor by grouping.
$m n - 6 m - 4 n + 24$ .

Short Answer

Step by step solution

Given expression is,

First group the terms with the common factors.

Step 3 let us check the answer by multiplying the factors.

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Factor by GroupingIn the following exercises, factor by grouping.mn−6m−4n+24.

Short Answer

Step by step solution

Given expression is,

First group the terms with the common factors.

Step 3 let us check the answer by multiplying the factors.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Probability and Statistics

Geometry

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Factor by Grouping
In the following exercises, factor by grouping.
$m n - 6 m - 4 n + 24$ .