Factorise:$4a^{2}-4b^{2}+4a+1$.

Given:

$4a^{2}-4b^{2}+4a+1$.

To do: Factorize the given expression

Solution:

= $4a^{2}+4a+1 -4b^{2}$

= $(2a)^{2} + 2 \times 2a \times 1 + 1^{2} - (2b)^{2}$

= $(2a + 1)^{2} -  (2b)^{2}$

= $(2a +2b + 1)(2a -2b + 1)$  

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Updated on: 10-Oct-2022

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