I need to factor X^2+2x+xy+2y Does anyone know how?

Mathematics · High School · Sun Jan 24 2021

Answered on

Given :

x^2 + 2x + xy + 2y

Factor the equation.

Solution:

In order to factor the equation, we simply look at the common terms that can be factored out. Noticed that the equation has 2 terms, hence, to avoid confusion, we will enclose the values with a parenthesis.

= (x^2 + 2x) + (xy + 2y)

For the first parenthesis, we can factor out the common factor x, while for the second parenthesis, we can factor out the common factor y.

= x (x + 2) + y ( x + 2)

= x + y ( x + 2)

Final answer:

= x + y ( x + 2)