5a/a+3+a+b/a+335/a^2+6a eching

$$\frac{ 5a }{ a+3 } + \frac{ a+b }{ a+3 } \frac{ 35 }{ { a }^{ 2 } +6a }$$

Baholash

$$\frac{5\left(a^{3}+6a^{2}+7a+7b\right)}{a\left(a+3\right)\left(a+6\right)}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{a+b}{a+3} ni \frac{35}{a^{2}+6a} ga ko‘paytiring.

$$\frac{5a}{a+3}+\frac{\left(a+b\right)\times 35}{\left(a+3\right)\left(a^{2}+6a\right)}$$

Faktor: \left(a+3\right)\left(a^{2}+6a\right).

$$\frac{5a}{a+3}+\frac{\left(a+b\right)\times 35}{a\left(a+3\right)\left(a+6\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a+3 va a\left(a+3\right)\left(a+6\right) ning eng kichik umumiy karralisi a\left(a+3\right)\left(a+6\right). \frac{5a}{a+3} ni \frac{a\left(a+6\right)}{a\left(a+6\right)} marotabaga ko'paytirish.

$$\frac{5aa\left(a+6\right)}{a\left(a+3\right)\left(a+6\right)}+\frac{\left(a+b\right)\times 35}{a\left(a+3\right)\left(a+6\right)}$$

\frac{5aa\left(a+6\right)}{a\left(a+3\right)\left(a+6\right)} va \frac{\left(a+b\right)\times 35}{a\left(a+3\right)\left(a+6\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5aa\left(a+6\right)+\left(a+b\right)\times 35}{a\left(a+3\right)\left(a+6\right)}$$

5aa\left(a+6\right)+\left(a+b\right)\times 35 ichidagi ko‘paytirishlarni bajaring.

$$\frac{5a^{3}+30a^{2}+35a+35b}{a\left(a+3\right)\left(a+6\right)}$$

a\left(a+3\right)\left(a+6\right) ni kengaytirish.

$$\frac{5a^{3}+30a^{2}+35a+35b}{a^{3}+9a^{2}+18a}$$

Kengaytirish

$$\frac{5\left(a^{3}+6a^{2}+7a+7b\right)}{\left(a+3\right)\left(a^{2}+6a\right)}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{a+b}{a+3} ni \frac{35}{a^{2}+6a} ga ko‘paytiring.

$$\frac{5a}{a+3}+\frac{\left(a+b\right)\times 35}{\left(a+3\right)\left(a^{2}+6a\right)}$$

Faktor: \left(a+3\right)\left(a^{2}+6a\right).

$$\frac{5a}{a+3}+\frac{\left(a+b\right)\times 35}{a\left(a+3\right)\left(a+6\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a+3 va a\left(a+3\right)\left(a+6\right) ning eng kichik umumiy karralisi a\left(a+3\right)\left(a+6\right). \frac{5a}{a+3} ni \frac{a\left(a+6\right)}{a\left(a+6\right)} marotabaga ko'paytirish.

$$\frac{5aa\left(a+6\right)}{a\left(a+3\right)\left(a+6\right)}+\frac{\left(a+b\right)\times 35}{a\left(a+3\right)\left(a+6\right)}$$

\frac{5aa\left(a+6\right)}{a\left(a+3\right)\left(a+6\right)} va \frac{\left(a+b\right)\times 35}{a\left(a+3\right)\left(a+6\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5aa\left(a+6\right)+\left(a+b\right)\times 35}{a\left(a+3\right)\left(a+6\right)}$$

5aa\left(a+6\right)+\left(a+b\right)\times 35 ichidagi ko‘paytirishlarni bajaring.

$$\frac{5a^{3}+30a^{2}+35a+35b}{a\left(a+3\right)\left(a+6\right)}$$

a\left(a+3\right)\left(a+6\right) ni kengaytirish.

$$\frac{5a^{3}+30a^{2}+35a+35b}{a^{3}+9a^{2}+18a}$$