Question

Factorise this expression
x²-y²+2x+1

correct answer is (x+1+y)(x+1-y)

PLEASE GIVE THE FULL SOLUTION​

Answer 1

Step-by-step explanation:

= x²-y²+2x+1

x²+2x+1= (x+1)²

=(x+1)²-y²

x²-y²= (x+y) (x-y)

(x+1) ²-y²=((x+1)+y) ((x+1)-y)

(x+1) = x+1

= (x+1+y)(x+1-y)