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

$$( 2 ) ( x - 2 y ) \cdot ( x + 2 y )$$

Evaluate

$$2\left(x^{2}-4y^{2}\right)$$

Solution Steps

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

$$\left(2x-4y\right)\left(x+2y\right)$$

Apply the distributive property by multiplying each term of 2x-4y by each term of x+2y.

$$2x^{2}+4xy-4yx-8y^{2}$$

Combine 4xy and -4yx to get 0.

$$2x^{2}-8y^{2}$$

Expand

$$2x^{2}-8y^{2}$$

Solution Steps

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

$$\left(2x-4y\right)\left(x+2y\right)$$

Apply the distributive property by multiplying each term of 2x-4y by each term of x+2y.

$$2x^{2}+4xy-4yx-8y^{2}$$

Combine 4xy and -4yx to get 0.

$$2x^{2}-8y^{2}$$