Factorize each of the following expression:

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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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