Question

The factorization of (x+y)^2+2(x+y)+1 is

please answer​

Answer 1

`(x + y+ 1)^2`

Explanation:

`Using : (a + b)^2 = a^2 + 2ab + b^2\\\\(x+ y)^2 + 2(x +y) + 1 , \ where \ a = (x+y) , \ b = 1 \\\\= (x +y)^2 + ( 2 * 1 * (x+y)) + 1^2\\\\= (x +y+ 1)^2`

Answer 2

Explanation:

Using:(a+b) ² =a²+2ab+b²

Hope it is helpful to you