Question

What is the complete factorization of x2 + 2x + 1 - y2?

A)
(x + 1 + y)(x + 1 - y)
B)
(x + 1 + y)(x - 1 - y)
0
(x - 1 - y) (x - 1 + y)
D)
(x + 1 + y) (x + y + 1)

Answer 1

Answer: A

Step-by-step explanation:

$x^2+2x+1-y^2\\\\=(x+1)^2-y^2\\\\=((x+1)-y)((x+1)+y)\\\\=(x+1-y)(x+1+y)\\\\Answer\ A$