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Chapter 7: Q 7.89 : (page 856)

Factorize the following polynomial : 16r2+30rs+9s2

Short Answer

Expert verified

The factors of the given polynomial is :(2r+3s)(8r+3s)

Step by step solution

01

Step 1. Given Information

Given expression is :16r2+30rs+9s2

02

Step 2. Factorization by middle term split

16r2+30rs+9s2=16r2+24rs+6rs+9s2=8r(2r+3s)+3s(2r+3s)=(2r+3s)(8r+3s)

03

Step 3. Check

Now,

(2r+3s)(8r+3s)=16r2+24rs+6rs+9s2=16r2+30rs+9s2

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