Solve frac{p^{7}-2p^{6}q^{3}-4pq^2+8q^5}{p^6-4q^2}=

$$\frac { p ^ { 7 } - 2 p ^ { 6 } q ^ { 3 } - 4 p q ^ { 2 } + 8 q ^ { 5 } } { p ^ { 6 } - 4 q ^ { 2 } } =$$

Evaluate

$$p-2q^{3}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(p-2q^{3}\right)\left(p^{3}-2q\right)\left(p^{3}+2q\right)}{\left(p^{3}-2q\right)\left(p^{3}+2q\right)}$$

Cancel out \left(p^{3}-2q\right)\left(p^{3}+2q\right) in both numerator and denominator.

$$p-2q^{3}$$

Expand

$$p-2q^{3}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(p-2q^{3}\right)\left(p^{3}-2q\right)\left(p^{3}+2q\right)}{\left(p^{3}-2q\right)\left(p^{3}+2q\right)}$$

Cancel out \left(p^{3}-2q\right)\left(p^{3}+2q\right) in both numerator and denominator.

$$p-2q^{3}$$