Solve 2(x-y)(x-y-5)

$$2(x-y)(x-y-5)$$

Expand

$$2x^{2}-4xy-10x+2y^{2}+10y$$

Solution Steps

Use the distributive property to multiply 2 by x-y.

$$\left(2x-2y\right)\left(x-y-5\right)$$

Apply the distributive property by multiplying each term of 2x-2y by each term of x-y-5.

$$2x^{2}-2xy-10x-2yx+2y^{2}+10y$$

Combine -2xy and -2yx to get -4xy.

$$2x^{2}-4xy-10x+2y^{2}+10y$$

Evaluate

$$2\left(x-y\right)\left(x-y-5\right)$$

Solution Steps

Use the distributive property to multiply 2 by x-y.

$$\left(2x-2y\right)\left(x-y-5\right)$$

Apply the distributive property by multiplying each term of 2x-2y by each term of x-y-5.

$$2x^{2}-2xy-10x-2yx+2y^{2}+10y$$

Combine -2xy and -2yx to get -4xy.

$$2x^{2}-4xy-10x+2y^{2}+10y$$