Question

a^2-(3a+b)^2factorise

Answer 1

Hey friend, Harish here.

Here is your answer:

We know that,

$a^{2} - b^{2} = (a + b) ( a - b)$

Then,

$a^{2}-(3a+b)^{2} = [a +(3a+b)]\times [ a - (3a+b)]$

⇒ $(4a+b) (-2a-b) = (4a+b) \times -1(2a+b) = -1 (4a+b) (2a+b)$

Hence the given expression is factorized.
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Hope my answer is helpful to you.