Solve h(h-5)(h-8)

$$h ( h - 5 ) ( h - 8 )$$

Evaluate

$$h\left(h-8\right)\left(h-5\right)$$

Solution Steps

Use the distributive property to multiply h by h-5.

$$\left(h^{2}-5h\right)\left(h-8\right)$$

Apply the distributive property by multiplying each term of h^{2}-5h by each term of h-8.

$$h^{3}-8h^{2}-5h^{2}+40h$$

Combine -8h^{2} and -5h^{2} to get -13h^{2}.

$$h^{3}-13h^{2}+40h$$

Expand

$$h^{3}-13h^{2}+40h$$

Solution Steps

Use the distributive property to multiply h by h-5.

$$\left(h^{2}-5h\right)\left(h-8\right)$$

Apply the distributive property by multiplying each term of h^{2}-5h by each term of h-8.

$$h^{3}-8h^{2}-5h^{2}+40h$$

Combine -8h^{2} and -5h^{2} to get -13h^{2}.

$$h^{3}-13h^{2}+40h$$