Factor the polynomial $\tan\left(x\right)-\tan\left(x\right)^2$ by it's greatest common factor (GCF): $\tan\left(x\right)$

Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$

Divide fractions $\frac{\tan\left(x\right)\left(1-\tan\left(x\right)\right)}{\frac{1}{\cos\left(x\right)^2}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$