Solve varphi^2-1/varphi

$$\varphi ^ { 2 } - \frac { 1 } { \varphi }$$

Evaluate

$$\frac{\phi ^{3}-1}{\phi }$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply \phi ^{2} times \frac{\phi }{\phi }.

$$\frac{\phi ^{2}\phi }{\phi }-\frac{1}{\phi }$$

Since \frac{\phi ^{2}\phi }{\phi } and \frac{1}{\phi } have the same denominator, subtract them by subtracting their numerators.

$$\frac{\phi ^{2}\phi -1}{\phi }$$

Do the multiplications in \phi ^{2}\phi -1.

$$\frac{\phi ^{3}-1}{\phi }$$

Factor

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