Mathematics
Factorize:
3 - 12(a - b)2
Factorisation
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Answer
Given,
⇒ 3 - 12(a - b)2
⇒ 3[1 - 4(a - b)2]
⇒ 3[(1)2 - [2(a - b)]2]
⇒ 3[1 + 2(a - b)] [1 - 2(a - b)]
⇒ 3(1 + 2a - 2b)(1 - 2a + 2b)
Hence, 3 - 12(a - b)2 = 3(1 + 2a - 2b)(1 - 2a + 2b).
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