Solve 9p-30/4(p-5)(p-3)

$$\frac { 9 p - 30 } { 4 ( p - 5 ) ( p - 3 ) }$$

Evaluate

$$\frac{3\left(3p-10\right)}{4\left(p-5\right)\left(p-3\right)}$$

Short Solution Steps

Use the distributive property to multiply 4 by p-5.

$$\frac{9p-30}{\left(4p-20\right)\left(p-3\right)}$$

Apply the distributive property by multiplying each term of 4p-20 by each term of p-3.

$$\frac{9p-30}{4p^{2}-12p-20p+60}$$

Combine -12p and -20p to get -32p.

$$\frac{9p-30}{4p^{2}-32p+60}$$

Expand

$$\frac{3\left(3p-10\right)}{4\left(p-5\right)\left(p-3\right)}$$

Short Solution Steps

Use the distributive property to multiply 4 by p-5.

$$\frac{9p-30}{\left(4p-20\right)\left(p-3\right)}$$

Apply the distributive property by multiplying each term of 4p-20 by each term of p-3.

$$\frac{9p-30}{4p^{2}-12p-20p+60}$$

Combine -12p and -20p to get -32p.

$$\frac{9p-30}{4p^{2}-32p+60}$$