x^2+2x+1−y^2
(a+b)^2=a^2+2ab+b^2
x^2+2x+1=(x+1)^2
(x+1)^2−y^2
a^2−b^2=(a−b)(a+b)
(x+1)^2−y^2=(x+1−y)(x+1+y)
=(x−y+1)(x+y+1)
\(x^2\) + 2\(x\) + 1 - y\(^2\)
= (\(x^2\) + 2.\(x\).1 + 1\(^2\)) - y\(^2\)
= (\(x+1\))\(^2\) - y\(^2\)
= (\(x+1-y\))(\(x+1+y\))
\(x^2+2x+1-y^2\)
\(=\left(x+1\right)^2-y^2\)
=(x+1+y)(x+1-y)