Question:
Factorize each of the following expression:
(3 + 2a)2 − 25a2
Solution:
$(3+2 a)^{2}-25 a^{2}$
$=(3+2 a)^{2}-(5 a)^{2}$
$=[(3+2 a)-5 a][(3+2 a)+5 a]$
$=(3+2 a-5 a)(3+2 a+5 a)$
$=(3-3 a)(3+7 a)$
$=3(1-a)(3+7 a)$
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