Solve (p+10)(p-4)/(q-p)(4p)

$$\frac { ( p + 10 ) ( p - 4 ) } { ( q - p ) ( 4 p ) }$$

Evaluate

$$\frac{\left(p-4\right)\left(p+10\right)}{4p\left(q-p\right)}$$

Short Solution Steps

Apply the distributive property by multiplying each term of p+10 by each term of p-4.

$$\frac{p^{2}-4p+10p-40}{\left(q-p\right)\times 4p}$$

Combine -4p and 10p to get 6p.

$$\frac{p^{2}+6p-40}{\left(q-p\right)\times 4p}$$

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

$$\frac{p^{2}+6p-40}{\left(4q-4p\right)p}$$

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

$$\frac{p^{2}+6p-40}{4qp-4p^{2}}$$

Expand

$$\frac{p^{2}+6p-40}{4p\left(q-p\right)}$$

Short Solution Steps

Apply the distributive property by multiplying each term of p+10 by each term of p-4.

$$\frac{p^{2}-4p+10p-40}{\left(q-p\right)\times 4p}$$

Combine -4p and 10p to get 6p.

$$\frac{p^{2}+6p-40}{\left(q-p\right)\times 4p}$$

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

$$\frac{p^{2}+6p-40}{\left(4q-4p\right)p}$$

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

$$\frac{p^{2}+6p-40}{4qp-4p^{2}}$$