Factorize of the following expressions:16(2x - 1)^2- 25y^2 - Vidyadip

Question

Factorize of the following expressions:$16(2x - 1)^2- 25y^2$

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Answer

$ 16(2 x-1)^2-25 y^2 $
$ =[4(2 x-1)]^2-(5 y)^2 $
$ =[4(2 x-1)-5 y][4(2 x-1)+5 y] $
$ =(8 x-4-5 y)(8 x-4+5 y) $
$ =(8 x-5 y-4)(8 x+5 y-4) $

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Factorise:
$=a b\left(x^2+y^2\right)-x y\left(a^2-b^2\right)$