Solve: (3-2 a)^2-25 a^2 - Vidyadip

Question

Solve:
$(3-2 a)^2-25 a^2$

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Answer

$(3-2 a)^2-25 a^2$
$=(3+2 a)^2-25 a^2$
$=[(3 a+2 a)-5 a][(3+2 a)+5 a]$
$=(3+2 a-5 a)(3+2 a+5 a)$
$=(3-3 a)(3+7 a)$
$=3(1-a)(3+7 a)$

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