q-qr/6q-15pq*4q-10pq/r^2-q^2 eching

$$\frac { q - q r } { 6 q - 15 p q } \times \frac { 4 q - 10 p q } { r ^ { 2 } - q ^ { 2 } }$$

Baholash

$$\frac{2q\left(1-r\right)}{3\left(r^{2}-q^{2}\right)}$$

Qisqa yechim qadamlari

\frac{q-qr}{6q-15pq} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{q\left(-r+1\right)}{3q\left(-5p+2\right)}\times \frac{4q-10pq}{r^{2}-q^{2}}$$

Surat va maxrajdagi ikkala q ni qisqartiring.

$$\frac{-r+1}{3\left(-5p+2\right)}\times \frac{4q-10pq}{r^{2}-q^{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{-r+1}{3\left(-5p+2\right)} ni \frac{4q-10pq}{r^{2}-q^{2}} ga ko‘paytiring.

$$\frac{\left(-r+1\right)\left(4q-10pq\right)}{3\left(-5p+2\right)\left(r^{2}-q^{2}\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2q\left(-5p+2\right)\left(-r+1\right)}{3\left(-5p+2\right)\left(q+r\right)\left(-q+r\right)}$$

Surat va maxrajdagi ikkala -5p+2 ni qisqartiring.

$$\frac{2q\left(-r+1\right)}{3\left(q+r\right)\left(-q+r\right)}$$

Ifodani kengaytiring.

$$\frac{-2qr+2q}{-3q^{2}+3r^{2}}$$

Kengaytirish

$$-\frac{2\left(qr-q\right)}{3\left(r^{2}-q^{2}\right)}$$

Qisqa yechim qadamlari

\frac{q-qr}{6q-15pq} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{q\left(-r+1\right)}{3q\left(-5p+2\right)}\times \frac{4q-10pq}{r^{2}-q^{2}}$$

Surat va maxrajdagi ikkala q ni qisqartiring.

$$\frac{-r+1}{3\left(-5p+2\right)}\times \frac{4q-10pq}{r^{2}-q^{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{-r+1}{3\left(-5p+2\right)} ni \frac{4q-10pq}{r^{2}-q^{2}} ga ko‘paytiring.

$$\frac{\left(-r+1\right)\left(4q-10pq\right)}{3\left(-5p+2\right)\left(r^{2}-q^{2}\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2q\left(-5p+2\right)\left(-r+1\right)}{3\left(-5p+2\right)\left(q+r\right)\left(-q+r\right)}$$

Surat va maxrajdagi ikkala -5p+2 ni qisqartiring.

$$\frac{2q\left(-r+1\right)}{3\left(q+r\right)\left(-q+r\right)}$$

Ifodani kengaytiring.

$$\frac{-2qr+2q}{-3q^{2}+3r^{2}}$$