Solve: 9(a-b)^2-100(x-y)^2 - Vidyadip

Question

Solve:
$9(a-b)^2-100(x-y)^2$

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Answer

$9(a-b)^2-100(x-y)^2$
$=[3(a-b)]^2-[10(x-y)]^2$
$=[3(a-b)-10(x-y)][3(a-b)+10(x-y)]$
$=(3 a-3 b-10 x+10 y)(3 a-3 b+10 x-10)$

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