Solve 5*(c-4d)(2c+8d)

$$5 \cdot ( c - 4 d ) ( 2 c + 8 d )$$

Evaluate

$$10\left(c^{2}-16d^{2}\right)$$

Solution Steps

Use the distributive property to multiply 5 by c-4d.

$$\left(5c-20d\right)\left(2c+8d\right)$$

Apply the distributive property by multiplying each term of 5c-20d by each term of 2c+8d.

$$10c^{2}+40cd-40dc-160d^{2}$$

Combine 40cd and -40dc to get 0.

$$10c^{2}-160d^{2}$$

Expand

$$10c^{2}-160d^{2}$$

Solution Steps

Use the distributive property to multiply 5 by c-4d.

$$\left(5c-20d\right)\left(2c+8d\right)$$

Apply the distributive property by multiplying each term of 5c-20d by each term of 2c+8d.

$$10c^{2}+40cd-40dc-160d^{2}$$

Combine 40cd and -40dc to get 0.

$$10c^{2}-160d^{2}$$