Question

Factorise the give expression 4a2-4b2+4a+1

Answer 1

Step-by-step explanation:

$4 {a}^{2} - 4 {b}^{2} + 4a + 1 \\ = 4 {a}^{2}+ 4a + 1 - 4 {b}^{2} \\ = {(2a + 1)}^{2} - {(2b)}^{2} \\ = {x}^{2} - {y}^{2} \\ = (x + y)(x - y) \\ = (2a + 1 + 2b)(2a + 1 - 2b) \\ = (2a + 2b + 1)(2a - 2b + 1)$