Solve m^4-m^2=

$$m ^ { 4 } - m ^ { 2 } =$$

Factor

$$\left(m-1\right)\left(m+1\right)m^{2}$$

Solution Steps

Factor out m^{2}.

$$m^{2}\left(m^{2}-1\right)$$

Consider m^{2}-1. Rewrite m^{2}-1 as m^{2}-1^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(m-1\right)\left(m+1\right)$$

Rewrite the complete factored expression.

$$m^{2}\left(m-1\right)\left(m+1\right)$$

Evaluate

$$m^{2}\left(m^{2}-1\right)$$