36-p^2/4mpdiv12+2p/6m eching

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

Baholash

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

Qisqa yechim qadamlari

\frac{36-p^{2}}{4mp} ni \frac{12+2p}{6m} ga bo'lish \frac{36-p^{2}}{4mp} ga k'paytirish \frac{12+2p}{6m} ga qaytarish.

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

Surat va maxrajdagi ikkala 2m ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

-6-p mislodagi manfiy ishorani chiqarib tashlang.

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

Surat va maxrajdagi ikkala p+6 ni qisqartiring.

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

Ifodani kengaytiring.

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

Kengaytirish

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

Qisqa yechim qadamlari

\frac{36-p^{2}}{4mp} ni \frac{12+2p}{6m} ga bo'lish \frac{36-p^{2}}{4mp} ga k'paytirish \frac{12+2p}{6m} ga qaytarish.

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

Surat va maxrajdagi ikkala 2m ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

-6-p mislodagi manfiy ishorani chiqarib tashlang.

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

Surat va maxrajdagi ikkala p+6 ni qisqartiring.

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

Ifodani kengaytiring.

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