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

Question

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

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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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