Factorise : $4(a+b) - 6(a+b)^{2}$.

Given: $4(a+b) - 6(a+b)^{2}$.

To do: Factories the expression

Solution:

The common factor of both terms in expression is 2(a+b)

So $4(a+b) - 6(a+b)^{2}$

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

=$2(a+b) \times [2- 3a -3b]$ 

=$2(a+b) \times (2 - 3a - 3b)$

Therefore , the answer is  $2(a+b) \times (2 - 3a - 3b)$

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Updated on: 10-Oct-2022

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