Solve -left(x+yright)left(x-yright)

$$- \left( x+y \right) \left( x-y \right)$$

Evaluate

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

Solution Steps

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

$$\left(-x-y\right)\left(x-y\right)$$

Apply the distributive property by multiplying each term of -x-y by each term of x-y.

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

Combine xy and -yx to get 0.

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

Expand

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

Solution Steps

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

$$\left(-x-y\right)\left(x-y\right)$$

Apply the distributive property by multiplying each term of -x-y by each term of x-y.

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

Combine xy and -yx to get 0.

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