Mathematics
Factorize:
9(x + a)2 - 4x2
Factorisation
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Answer
Given,
⇒ 9(x + a)2 - 4x2
⇒ [3(x + a)]2 - (2x)2
⇒ [3(x + a) + 2x] [3(x + a) - 2x]
⇒ (3x + 3a + 2x)(3x + 3a - 2x)
⇒ (5x + 3a)(x + 3a).
Hence, 9(x + a)2 - 4x2 = (5x + 3a)(x + 3a).
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