Question

factorize 8(a+1)^2+2(a+1)(b+2)-15(b-2)^2 Pls answer quickly. I will mark you brainliest​

Answer 1

Given: 8(a+1)²+2(a+1)(b+2)-15(b-2)²

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For more clarity replace a+1=P, b-2=Q

8P² + 2PQ - 15P²

4P                      -5Q

2P                       3Q

=(4P-5Q)(2P+3Q)

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To simplify,

The left bracket is 4(a+1)-5(b-2)=4a-5b+14

The right bracket is 2(a+1)-5(b-2)=2a-5b+12

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Therefore, the answer is (4a-5b+14)(2a-5b+12)