Question

4a²-4b²+4a+1?factories ​

Answer 1

= 4a2 + 4a + 1 - 4b2

= (2a)2 + 2*2a*1 + 12 - (2b)2

= (2a + 1)2 - (2b)2

= (2a + 1 + 2b) (2a + 1 - 2b)

Answer 2

$\sf \: {4a}^{2} - {4b}^{2} + 4a + 1 \\ \sf \implies \: ( {4a}^{2} + 4a + 1) - {4b}^{2} \\ \sf \implies \: ( {(2a)}^{2} + 2 \times 2a \times 1 + {1}^{2} ) - {(2b)}^{2} \\ \sf \implies \: {(2a + 1)}^{2} - {(2b)}^{2} \\ \boxed{ \red{\sf {\implies \: (2a + 1 + 2b)(2a - 1 - 2b)}}}$