Solve 3h^3-75h

$$3 h ^ { 3 } - 75 h$$

Factor

$$3h\left(h-5\right)\left(h+5\right)$$

Solution Steps

Factor out 3.

$$3\left(h^{3}-25h\right)$$

Consider h^{3}-25h. Factor out h.

$$h\left(h^{2}-25\right)$$

Consider h^{2}-25. Rewrite h^{2}-25 as h^{2}-5^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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

Rewrite the complete factored expression.

$$3h\left(h-5\right)\left(h+5\right)$$

Evaluate

$$3h\left(h^{2}-25\right)$$