Solve r^2pi-frac{3sqrt{3}r^2}{2}

$$r ^ { 2 } \pi - \frac { 3 \sqrt { 3 } r ^ { 2 } } { 2 }$$

Factor

$$\frac{\left(2\pi -3\sqrt{3}\right)r^{2}}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{2r^{2}\pi -3\sqrt{3}r^{2}}{2}$$

Consider 2r^{2}\pi -3\sqrt{3}r^{2}. Factor out r^{2}.

$$r^{2}\left(2\pi -3\sqrt{3}\right)$$

Rewrite the complete factored expression.

$$\frac{r^{2}\left(2\pi -3\sqrt{3}\right)}{2}$$

Evaluate

$$-\frac{3\sqrt{3}r^{2}}{2}+\pi r^{2}$$