Hello there! We are given the following equation and want to simplify it:
[tex](x+y+2)(y+1)[/tex]
First, let's use the Distributive Property:
For this step, we are going to let:
After applying this version of the Distributive Property, we are given the equation:
[tex](y)(x+y+2)+(1)(x+y+2)[/tex]
We're going to use the distributive party again, but a slightly different version that's almost the same as first:
Using this on both terms of the equation changes the equation to:
[tex](xy+y^2+2y)+(x+y+2)[/tex]
Now, we just remove the parenthesis and combine like terms
[tex]y^2+3y+xy+x+2[/tex]
This should be your answer. Let me know if you need any clarifications, thanks!
~ Padoru