Mathematics
Factorise:
3(2a - b)2 - 19(2a - b) + 28
Factorisation
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Answer
Given,
⇒ 3(2a - b)2 - 19(2a - b) + 28
Let 2a - b = x,
⇒ 3x2 - 19x + 28
⇒ 3x2 - 7x - 12x + 28
⇒ x(3x - 7) - 4(3x - 7)
⇒ (3x - 7)(x - 4)
⇒ [3(2a - b) - 7][2a - b - 4]
⇒ (6a - 3b - 7)(2a - b - 4).
Hence, 3(2a - b)2 - 19(2a - b) + 28 = (2a - b - 4)(6a - 3b - 7).
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