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Chapter 7: Q. 302 (page 878)

In the following exercises, factor completely.

12ab鈭�6a+10b鈭�5

Short Answer

Expert verified

The factored form of the polynomial is6a+52b-1.

Step by step solution

01

Step 1. Given Information.

The given polynomial is 12ab-6a+10b-5.

02

Step 2. Factoring 

There is no GCF in the given polynomial and the polynomial has more than three terms.

To factor, the given polynomial we will use grouping method.

So,

12ab-6a+10b-5=6a2b-1+52b-1=6a+52b-1

The polynomial is factored completely.

Thus, the factored form is 6a+52b-1.

03

Step 3. Check the answer 

To check the answer, expand the factored form we get,

12ab-6a+10b-5=6a+52b-112ab-6a+10b-5=12ab-6a+10b-5

L.H.S = R.H.S

Thus, the answer is right.

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