Question

Factorize:- 9(2a - b)^2 - 4(2a - b) -13

Answer 1

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$Factorize:- 9(2a - b)^2 - 4(2a - b) -13$

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• let 2a - b be x

$\sf\implies9x^2 - 4x - 13$

$\sf\implies9x^2 +9x - 13x - 13$

$\sf\implies 9x(x+1) -13(x+1)$

$\sf\implies(9x-13)(x+1)$

• putting value of x in eq

$\sf\implies(9(2a-b)-13)((2a-b)+1)$

$\sf\implies(18a-9b-13)((2a-b)+1)$

$\sf\implies(18a-9b-13)(2a-b+1)$

${\bold{\blue{\boxed{\bf{ \dag(18a-9b-13)(2a-b+1)}}}}}$

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