Question

(x + y + 2)(y + 1) Solve

Answer 1

Hello there! We are given the following equation and want to simplify it:

$(x+y+2)(y+1)$

First, let's use the Distributive Property:

• $(a+b)(c)=ac+bc$

For this step, we are going to let:

• $a=y$

• $b=1$

• $c=(x+y+2)$

After applying this version of the Distributive Property, we are given the equation:

$(y)(x+y+2)+(1)(x+y+2)$

We're going to use the distributive party again, but a slightly different version that's almost the same as first:

• $(a)(b+c+d)=ab+ac+ad$

Using this on both terms of the equation changes the equation to:

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

Now, we just remove the parenthesis and combine like terms

$y^2+3y+xy+x+2$

This should be your answer. Let me know if you need any clarifications, thanks!

~ Padoru