4v/v^2-10v+21-3v/v^2-11v+28 eching

$$\frac { 4 v } { v ^ { 2 } - 10 v + 21 } - \frac { 3 v } { v ^ { 2 } - 11 v + 28 }$$

Baholash

$$\frac{v}{\left(v-4\right)\left(v-3\right)}$$

Qisqa yechim qadamlari

Faktor: v^{2}-10v+21. Faktor: v^{2}-11v+28.

$$\frac{4v}{\left(v-7\right)\left(v-3\right)}-\frac{3v}{\left(v-7\right)\left(v-4\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(v-7\right)\left(v-3\right) va \left(v-7\right)\left(v-4\right) ning eng kichik umumiy karralisi \left(v-7\right)\left(v-4\right)\left(v-3\right). \frac{4v}{\left(v-7\right)\left(v-3\right)} ni \frac{v-4}{v-4} marotabaga ko'paytirish. \frac{3v}{\left(v-7\right)\left(v-4\right)} ni \frac{v-3}{v-3} marotabaga ko'paytirish.

$$\frac{4v\left(v-4\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}-\frac{3v\left(v-3\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}$$

\frac{4v\left(v-4\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)} va \frac{3v\left(v-3\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{4v\left(v-4\right)-3v\left(v-3\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}$$

4v\left(v-4\right)-3v\left(v-3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{4v^{2}-16v-3v^{2}+9v}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}$$

4v^{2}-16v-3v^{2}+9v kabi iboralarga o‘xshab birlashtiring.

$$\frac{v^{2}-7v}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}$$

\frac{v^{2}-7v}{\left(v-7\right)\left(v-4\right)\left(v-3\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{v\left(v-7\right)}{\left(v-7\right)\left(v-4\right)\left(v-3\right)}$$

Surat va maxrajdagi ikkala v-7 ni qisqartiring.

$$\frac{v}{\left(v-4\right)\left(v-3\right)}$$

\left(v-4\right)\left(v-3\right) ni kengaytirish.

$$\frac{v}{v^{2}-7v+12}$$

Omil

$$\frac{v}{\left(v-4\right)\left(v-3\right)}$$