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Chapter 6: Q 47E (page 572)

Factor by Grouping
In the following exercises, factor by grouping.

mn鈭�6m鈭�4n+24.

Short Answer

Expert verified

The obtained factors by using the grouping method for the given expressionmn鈭�6m鈭�4n+24 are,n-6m-4.

Step by step solution

01

Given expression is,

mn鈭�6m鈭�4n+24.

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

02

First group the terms with the common factors.

mn鈭�6m鈭�4n+24=mn鈭�6m+-4n+24

Now factor out the common terms from each group.

mn鈭�6m鈭�4n+24=mn鈭�6-4n-6=n-6m-4

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

03

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

n-6m-4=nm-4n-6m+24=mn-6m-4n+24

which is true.

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