Mathematics

16(2a − b)2 − 9(a + b)2 =

  1. (5a − 7b)(11a − b)

  2. (5a + 7b)(11a − b)

  3. (5a − 7b)(11a + b)

  4. (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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