Mathematics
16(2a − b)2 − 9(a + b)2 =
(5a − 7b)(11a − b)
(5a + 7b)(11a − b)
(5a − 7b)(11a + b)
(5a + 7b)(11a + b)
Factorisation
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Answer
Given,
⇒ [4(2a − b)]2 − [3(a + b)]2
⇒ [4(2a − b) − 3(a + b)][4(2a − b) + 3(a + b)]
⇒ (8a − 4b − 3a - 3b)(8a − 4b + 3a + 3b)
⇒ (5a − 7b)(11a − b).
Hence, option 1 is correct option.
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