Solve 15p^4+35p-4/p^2+16

$$15 p ^ { 4 } + 35 p - \frac { 4 } { p ^ { 2 } } + 16$$

Evaluate

$$15p^{4}+35p+16-\frac{4}{p^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 15p^{4}+35p+16 times \frac{p^{2}}{p^{2}}.

$$\frac{\left(15p^{4}+35p+16\right)p^{2}}{p^{2}}-\frac{4}{p^{2}}$$

Since \frac{\left(15p^{4}+35p+16\right)p^{2}}{p^{2}} and \frac{4}{p^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\left(15p^{4}+35p+16\right)p^{2}-4}{p^{2}}$$

Do the multiplications in \left(15p^{4}+35p+16\right)p^{2}-4.

$$\frac{15p^{6}+35p^{3}+16p^{2}-4}{p^{2}}$$

Factor

$$\frac{15p^{6}+35p^{3}+16p^{2}-4}{p^{2}}$$