Solve 2left(x-yright)left(x-y+5right)

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

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.

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