9yv/y^2-v^2+y-v/y+v eching

$$\frac { 9 y v } { y ^ { 2 } - v ^ { 2 } } + \frac { y - v } { y + v }$$

Baholash

$$\frac{y^{2}+7vy+v^{2}}{y^{2}-v^{2}}$$

Qisqa yechim qadamlari

Faktor: y^{2}-v^{2}.

$$\frac{9yv}{\left(y+v\right)\left(y-v\right)}+\frac{y-v}{y+v}$$

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

$$\frac{9yv}{\left(y+v\right)\left(y-v\right)}+\frac{\left(y-v\right)\left(y-v\right)}{\left(y+v\right)\left(y-v\right)}$$

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

$$\frac{9yv+\left(y-v\right)\left(y-v\right)}{\left(y+v\right)\left(y-v\right)}$$

9yv+\left(y-v\right)\left(y-v\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{9yv+y^{2}-yv-yv+v^{2}}{\left(y+v\right)\left(y-v\right)}$$

9yv+y^{2}-yv-yv+v^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{v^{2}+7yv+y^{2}}{\left(y+v\right)\left(y-v\right)}$$

\left(y+v\right)\left(y-v\right) ni kengaytirish.

$$\frac{v^{2}+7yv+y^{2}}{y^{2}-v^{2}}$$

Kengaytirish

$$\frac{y^{2}+7vy+v^{2}}{y^{2}-v^{2}}$$

Qisqa yechim qadamlari

Faktor: y^{2}-v^{2}.

$$\frac{9yv}{\left(y+v\right)\left(y-v\right)}+\frac{y-v}{y+v}$$

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

$$\frac{9yv}{\left(y+v\right)\left(y-v\right)}+\frac{\left(y-v\right)\left(y-v\right)}{\left(y+v\right)\left(y-v\right)}$$

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

$$\frac{9yv+\left(y-v\right)\left(y-v\right)}{\left(y+v\right)\left(y-v\right)}$$

9yv+\left(y-v\right)\left(y-v\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{9yv+y^{2}-yv-yv+v^{2}}{\left(y+v\right)\left(y-v\right)}$$

9yv+y^{2}-yv-yv+v^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{v^{2}+7yv+y^{2}}{\left(y+v\right)\left(y-v\right)}$$

\left(y+v\right)\left(y-v\right) ni kengaytirish.

$$\frac{v^{2}+7yv+y^{2}}{y^{2}-v^{2}}$$