steps with answer please

Question

x^3-y^3/x^2+2xy+y^2÷(x-y)(x+y)

Answer 1

 

(x³ - y³ )/ (x² + 2xy + y² ) ÷ [(x - y)(x +y)]

 

If this is how the question was given to you, here is how you solve it:

1. There are two divisions, let us simplify               [(x² - y² )/ (x² + 2xy + y² )] · [1/(x - y)(x +y)]
2. Factor the expressions on the left                      [(x -y)( x² + xy + y² )/ (x + y)²][1/(x - y)(x +y)]
3. (x - y) is a factor that can be eliminated            [( x² + xy + y² )/ (x + y)² ][1/(x +y)]
4. Multiply and simplify                                         ( x²+ xy + y² )/ (x + y)³