9y+3/y^2-11y+18+y+3/y-9 eching

$$\frac { 9 y + 3 } { y ^ { 2 } - 11 y + 18 } + \frac { y + 3 } { y - 9 }$$

Baholash

$$\frac{y^{2}+10y-3}{\left(y-9\right)\left(y-2\right)}$$

Qisqa yechim qadamlari

Faktor: y^{2}-11y+18.

$$\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{y+3}{y-9}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(y-9\right)\left(y-2\right) va y-9 ning eng kichik umumiy karralisi \left(y-9\right)\left(y-2\right). \frac{y+3}{y-9} ni \frac{y-2}{y-2} marotabaga ko'paytirish.

$$\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)}$$

\frac{9y+3}{\left(y-9\right)\left(y-2\right)} va \frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{9y+3+\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)}$$

9y+3+\left(y+3\right)\left(y-2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{9y+3+y^{2}-2y+3y-6}{\left(y-9\right)\left(y-2\right)}$$

9y+3+y^{2}-2y+3y-6 kabi iboralarga o‘xshab birlashtiring.

$$\frac{10y-3+y^{2}}{\left(y-9\right)\left(y-2\right)}$$

\left(y-9\right)\left(y-2\right) ni kengaytirish.

$$\frac{10y-3+y^{2}}{y^{2}-11y+18}$$

Kengaytirish

$$\frac{y^{2}+10y-3}{\left(y-9\right)\left(y-2\right)}$$

Qisqa yechim qadamlari

Faktor: y^{2}-11y+18.

$$\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{y+3}{y-9}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(y-9\right)\left(y-2\right) va y-9 ning eng kichik umumiy karralisi \left(y-9\right)\left(y-2\right). \frac{y+3}{y-9} ni \frac{y-2}{y-2} marotabaga ko'paytirish.

$$\frac{9y+3}{\left(y-9\right)\left(y-2\right)}+\frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)}$$

\frac{9y+3}{\left(y-9\right)\left(y-2\right)} va \frac{\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{9y+3+\left(y+3\right)\left(y-2\right)}{\left(y-9\right)\left(y-2\right)}$$

9y+3+\left(y+3\right)\left(y-2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{9y+3+y^{2}-2y+3y-6}{\left(y-9\right)\left(y-2\right)}$$

9y+3+y^{2}-2y+3y-6 kabi iboralarga o‘xshab birlashtiring.

$$\frac{10y-3+y^{2}}{\left(y-9\right)\left(y-2\right)}$$

\left(y-9\right)\left(y-2\right) ni kengaytirish.

$$\frac{10y-3+y^{2}}{y^{2}-11y+18}$$