Réitigh pq-pr/r^2-1divq^2-r^2/r^2+r

$$\frac { p q - p r } { r ^ { 2 } - 1 } \div \frac { q ^ { 2 } - r ^ { 2 } } { r ^ { 2 } + r }$$

Luacháil

$$\frac{pr}{\left(r-1\right)\left(q+r\right)}$$

$$r\neq 0\text{ and }|r|\neq 1\text{ and }|q|\neq |r|$$

Céimeanna gearra réitigh

Roinn \frac{pq-pr}{r^{2}-1} faoi \frac{q^{2}-r^{2}}{r^{2}+r} trí \frac{pq-pr}{r^{2}-1} a mhéadú faoi dheilín \frac{q^{2}-r^{2}}{r^{2}+r}.

$$\frac{\left(pq-pr\right)\left(r^{2}+r\right)}{\left(r^{2}-1\right)\left(q^{2}-r^{2}\right)}$$

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$\frac{pr\left(r+1\right)\left(q-r\right)}{\left(r-1\right)\left(r+1\right)\left(q+r\right)\left(q-r\right)}$$

Cealaigh \left(r+1\right)\left(q-r\right) mar uimhreoir agus ainmneoir.

$$\frac{pr}{\left(r-1\right)\left(q+r\right)}$$

Fairsingigh an slonn.

$$\frac{pr}{qr-q+r^{2}-r}$$

Fairsingigh

$$\frac{pr}{\left(r-1\right)\left(q+r\right)}$$

$$r\neq 0\text{ and }|r|\neq 1\text{ and }|q|\neq |r|$$

Céimeanna gearra réitigh

Roinn \frac{pq-pr}{r^{2}-1} faoi \frac{q^{2}-r^{2}}{r^{2}+r} trí \frac{pq-pr}{r^{2}-1} a mhéadú faoi dheilín \frac{q^{2}-r^{2}}{r^{2}+r}.

$$\frac{\left(pq-pr\right)\left(r^{2}+r\right)}{\left(r^{2}-1\right)\left(q^{2}-r^{2}\right)}$$

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$\frac{pr\left(r+1\right)\left(q-r\right)}{\left(r-1\right)\left(r+1\right)\left(q+r\right)\left(q-r\right)}$$

Cealaigh \left(r+1\right)\left(q-r\right) mar uimhreoir agus ainmneoir.

$$\frac{pr}{\left(r-1\right)\left(q+r\right)}$$

Fairsingigh an slonn.

$$\frac{pr}{qr-q+r^{2}-r}$$