Solve (x+y)^2-(x-y)

$$( x + y ) ^ { 2 } - ( x - y )$$

Evaluate

$$\left(x+y\right)^{2}+y-x$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.

$$x^{2}+2xy+y^{2}-\left(x-y\right)$$

To find the opposite of x-y, find the opposite of each term.

$$x^{2}+2xy+y^{2}-x+y$$

Expand

$$x^{2}+2xy-x+y^{2}+y$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.

$$x^{2}+2xy+y^{2}-\left(x-y\right)$$

To find the opposite of x-y, find the opposite of each term.

$$x^{2}+2xy+y^{2}-x+y$$