Question

3(a-2)²+6(a-2) factorise it​

Answer 1

Step-by-step explanation:

$3(a - 2) ^{2} + 6(a - 2) \\ \\ = (a - 2) \: \{3(a - 2) + 6 \} \\ \\ = (a - 2)(3a - 6 + 6) \\ \\ = (a - 2)(3a \: \: \: \cancel{- 6} \: \: \cancel{+ 6}) \\ \\ = (a - 2)3a \\ \\ = 3a(a - 2) \\ \\ = 3 {a}^{2} - 6a$

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