Solve 3p^2-9/q-5+4p^2+5/q-5

$$\frac { 3 p ^ { 2 } - 9 } { q - 5 } + \frac { 4 p ^ { 2 } + 5 } { q - 5 }$$

Evaluate

$$\frac{7p^{2}-4}{q-5}$$

Short Solution Steps

Since \frac{3p^{2}-9}{q-5} and \frac{4p^{2}+5}{q-5} have the same denominator, add them by adding their numerators.

$$\frac{3p^{2}-9+4p^{2}+5}{q-5}$$

Combine like terms in 3p^{2}-9+4p^{2}+5.

$$\frac{7p^{2}-4}{q-5}$$

Expand

$$\frac{7p^{2}-4}{q-5}$$

Short Solution Steps

Since \frac{3p^{2}-9}{q-5} and \frac{4p^{2}+5}{q-5} have the same denominator, add them by adding their numerators.

$$\frac{3p^{2}-9+4p^{2}+5}{q-5}$$

Combine like terms in 3p^{2}-9+4p^{2}+5.

$$\frac{7p^{2}-4}{q-5}$$