Solve -2(x+k)(x-k)

$$- 2 ( x + k ) ( x - k )$$

Evaluate

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

Solution Steps

Use the distributive property to multiply -2 by x+k.

$$\left(-2x-2k\right)\left(x-k\right)$$

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

$$-2x^{2}+2xk-2kx+2k^{2}$$

Combine 2xk and -2kx to get 0.

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

Expand

$$2k^{2}-2x^{2}$$

Solution Steps

Use the distributive property to multiply -2 by x+k.

$$\left(-2x-2k\right)\left(x-k\right)$$

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

$$-2x^{2}+2xk-2kx+2k^{2}$$

Combine 2xk and -2kx to get 0.

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