Question:
Factorize each of the following expression:
16(2x − 1)2 − 25y2
Solution:
$16(2 x-1)^{2}-25 y^{2}$
$=[4(2 x-1)]^{2}-(5 y)^{2}$
$=[4(2 x-1)-5 y][4(2 x-1)+5 y]$
$=(8 x-4-5 y)(8 x-4+5 y)$
$=(8 x-5 y-4)(8 x+5 y-4)$
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