Factorize : p+q2-a-b2+p+q-a+b

Factorize : ${(p + q)}^{2} - {(a - b)}^{2} + p + q - a + b$

Match the items on the right to the items on the left.

Step 1

Step 2

Step 3

Step 4

{(p + q)}^{2} - {(a - b)}^{2} + p + q - a + b = \{{(p + q)}^{2} - {(a - b)}^{2}\} + (p + q) - (a - b)

= \{(p + q) + (a - b)\} \{(p + q) - (a - b)\} + (p + q) - (a - b)

= (p + q + a - b) (p + q - a + b) + (p + q) - (a - b)

= (p + q - a + b) (p + q + a - b + 1)