Mathematics
Factorise the following:
(3a - 2b)2 + 3(3a - 2b) - 10
Factorisation
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Answer
Let (3a - 2b) = t.
∴ (3a - 2b)2 + 3(3a - 2b) - 10 = t2 + 3t - 10
= t2 + 5t - 2t - 10
= t(t + 5) - 2(t + 5)
= (t + 5)(t - 2)
= (3a - 2b + 5)(3a - 2b - 2).
Hence, (3a - 2b)2 + 3(3a - 2b) - 10 = (3a - 2b + 5)(3a - 2b - 2).
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