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

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

I-evaluate

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

Maiikling Hakbang sa Solution

I-factor ang mga expression na hindi pa na-factor.

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

I-cancel out ang \left(p^{3}-2q\right)\left(p^{3}+2q\right) sa parehong numerator at denominator.

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

Palawakin

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

Maiikling Hakbang sa Solution

I-factor ang mga expression na hindi pa na-factor.

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

I-cancel out ang \left(p^{3}-2q\right)\left(p^{3}+2q\right) sa parehong numerator at denominator.

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