Solve 4(h+2k)(3h-k)=

$$4 ( h + 2 k ) ( 3 h - k ) =$$

Evaluate

$$4\left(3h-k\right)\left(h+2k\right)$$

Solution Steps

Use the distributive property to multiply 4 by h+2k.

$$\left(4h+8k\right)\left(3h-k\right)$$

Apply the distributive property by multiplying each term of 4h+8k by each term of 3h-k.

$$12h^{2}-4hk+24kh-8k^{2}$$

Combine -4hk and 24kh to get 20hk.

$$12h^{2}+20hk-8k^{2}$$

Expand

$$12h^{2}+20hk-8k^{2}$$

Solution Steps

Use the distributive property to multiply 4 by h+2k.

$$\left(4h+8k\right)\left(3h-k\right)$$

Apply the distributive property by multiplying each term of 4h+8k by each term of 3h-k.

$$12h^{2}-4hk+24kh-8k^{2}$$

Combine -4hk and 24kh to get 20hk.

$$12h^{2}+20hk-8k^{2}$$