Solve p^2/8+8p-84

$$\frac { p ^ { 2 } } { 8 } + 8 p - 84$$

Evaluate

$$\frac{p^{2}}{8}+8p-84$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 8p-84 times \frac{8}{8}.

$$\frac{p^{2}}{8}+\frac{8\left(8p-84\right)}{8}$$

Since \frac{p^{2}}{8} and \frac{8\left(8p-84\right)}{8} have the same denominator, add them by adding their numerators.

$$\frac{p^{2}+8\left(8p-84\right)}{8}$$

Do the multiplications in p^{2}+8\left(8p-84\right).

$$\frac{p^{2}+64p-672}{8}$$

Factor

$$\frac{\left(p-\left(-4\sqrt{106}-32\right)\right)\left(p-\left(4\sqrt{106}-32\right)\right)}{8}$$