Réitigh 36-p^2/4mpdiv12+2p/6m

$$\frac { 36 - p ^ { 2 } } { 4 m p } \div \frac { 12 + 2 p } { 6 m }$$

Luacháil

$$-\frac{3}{4}+\frac{9}{2p}$$

Céimeanna gearra réitigh

Roinn \frac{36-p^{2}}{4mp} faoi \frac{12+2p}{6m} trí \frac{36-p^{2}}{4mp} a mhéadú faoi dheilín \frac{12+2p}{6m}.

$$\frac{\left(36-p^{2}\right)\times 6m}{4mp\left(12+2p\right)}$$

Cealaigh 2m mar uimhreoir agus ainmneoir.

$$\frac{3\left(-p^{2}+36\right)}{2p\left(2p+12\right)}$$

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$\frac{3\left(p-6\right)\left(-p-6\right)}{2^{2}p\left(p+6\right)}$$

Bain an comhartha diúltach in: -6-p.

$$\frac{-3\left(p-6\right)\left(p+6\right)}{2^{2}p\left(p+6\right)}$$

Cealaigh p+6 mar uimhreoir agus ainmneoir.

$$\frac{-3\left(p-6\right)}{2^{2}p}$$

Fairsingigh an slonn.

$$\frac{-3p+18}{4p}$$

Fairsingigh

$$-\frac{3}{4}+\frac{9}{2p}$$

Céimeanna gearra réitigh

Roinn \frac{36-p^{2}}{4mp} faoi \frac{12+2p}{6m} trí \frac{36-p^{2}}{4mp} a mhéadú faoi dheilín \frac{12+2p}{6m}.

$$\frac{\left(36-p^{2}\right)\times 6m}{4mp\left(12+2p\right)}$$

Cealaigh 2m mar uimhreoir agus ainmneoir.

$$\frac{3\left(-p^{2}+36\right)}{2p\left(2p+12\right)}$$

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$\frac{3\left(p-6\right)\left(-p-6\right)}{2^{2}p\left(p+6\right)}$$

Bain an comhartha diúltach in: -6-p.

$$\frac{-3\left(p-6\right)\left(p+6\right)}{2^{2}p\left(p+6\right)}$$

Cealaigh p+6 mar uimhreoir agus ainmneoir.

$$\frac{-3\left(p-6\right)}{2^{2}p}$$

Fairsingigh an slonn.

$$\frac{-3p+18}{4p}$$