Question

b²+6ab + 9a²

factorise please

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Answer 1

$\sf \Large Solution!!$

b² + 6ab + 9a²

Or we can write it in this way → 9a² + b² + 6ab

Now, we observe that this looks similar to the identity → (a + b)² = a² + b² + 2ab

So, comparing it with this identity, we get

(3a)² + (b)² + 2(3a)(b) = (3a + b)²

(3a + b)²

Hence, factorised