Mathematics
Factorize:
9(b + 2a)2 - 4a2
Factorisation
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Answer
Given,
⇒ 9(b + 2a)2 - 4a2
⇒ [3(b + 2a)]2 - (2a)2
⇒ [3(b + 2a) + 2a][3(b + 2a) - 2a]
⇒ (3b + 6a + 2a)(3b + 6a - 2a)
⇒ (3b + 8a)(3b + 4a).
Hence, 9(b + 2a)2 - 4a2 = (3b + 8a)(3b + 4a).
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