Question

factorize the following​

Answer 1

Step-by-step explanation:

Let

2a - 3 = X and a-1 = Y

now, according to question,

$4 {x}^{2} - 3xy - 7 {y}^{2} \\ = 4 {x }^{2} + 4xy - 7xy - 7 {y }^{2} \\ = 4x(x + y) - 7y(x + y) \\ = (4x - 7y)(x + y)$

$now \: put \: value \: of \: x \: \: and \: y \: \\ in \: above \: expressions \: we \: get$

$= (a - 5)(3a - 4)$

Ans