Solve 49m^4-m^2=

$$49 m ^ { 4 } - m ^ { 2 } =$$

Factor

$$\left(7m-1\right)\left(7m+1\right)m^{2}$$

Solution Steps

Factor out m^{2}.

$$m^{2}\left(49m^{2}-1\right)$$

Consider 49m^{2}-1. Rewrite 49m^{2}-1 as \left(7m\right)^{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).

$$\left(7m-1\right)\left(7m+1\right)$$

Rewrite the complete factored expression.

$$m^{2}\left(7m-1\right)\left(7m+1\right)$$

Evaluate

$$m^{2}\left(49m^{2}-1\right)$$