4y+9/y^2+2y-24+7/y^2+5y-6 eching

$$\frac { 4 y + 9 } { y ^ { 2 } + 2 y - 24 } + \frac { 7 } { y ^ { 2 } + 5 y - 6 }$$

Baholash

$$\frac{4y^{2}+12y-37}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}$$

Qisqa yechim qadamlari

Faktor: y^{2}+2y-24. Faktor: y^{2}+5y-6.

$$\frac{4y+9}{\left(y-4\right)\left(y+6\right)}+\frac{7}{\left(y-1\right)\left(y+6\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(y-4\right)\left(y+6\right) va \left(y-1\right)\left(y+6\right) ning eng kichik umumiy karralisi \left(y-4\right)\left(y-1\right)\left(y+6\right). \frac{4y+9}{\left(y-4\right)\left(y+6\right)} ni \frac{y-1}{y-1} marotabaga ko'paytirish. \frac{7}{\left(y-1\right)\left(y+6\right)} ni \frac{y-4}{y-4} marotabaga ko'paytirish.

$$\frac{\left(4y+9\right)\left(y-1\right)}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}+\frac{7\left(y-4\right)}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}$$

\frac{\left(4y+9\right)\left(y-1\right)}{\left(y-4\right)\left(y-1\right)\left(y+6\right)} va \frac{7\left(y-4\right)}{\left(y-4\right)\left(y-1\right)\left(y+6\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(4y+9\right)\left(y-1\right)+7\left(y-4\right)}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}$$

\left(4y+9\right)\left(y-1\right)+7\left(y-4\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{4y^{2}-4y+9y-9+7y-28}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}$$

4y^{2}-4y+9y-9+7y-28 kabi iboralarga o‘xshab birlashtiring.

$$\frac{4y^{2}+12y-37}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}$$

\left(y-4\right)\left(y-1\right)\left(y+6\right) ni kengaytirish.

$$\frac{4y^{2}+12y-37}{y^{3}+y^{2}-26y+24}$$

Kengaytirish

$$\frac{4y^{2}+12y-37}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}$$

Qisqa yechim qadamlari

Faktor: y^{2}+2y-24. Faktor: y^{2}+5y-6.

$$\frac{4y+9}{\left(y-4\right)\left(y+6\right)}+\frac{7}{\left(y-1\right)\left(y+6\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(y-4\right)\left(y+6\right) va \left(y-1\right)\left(y+6\right) ning eng kichik umumiy karralisi \left(y-4\right)\left(y-1\right)\left(y+6\right). \frac{4y+9}{\left(y-4\right)\left(y+6\right)} ni \frac{y-1}{y-1} marotabaga ko'paytirish. \frac{7}{\left(y-1\right)\left(y+6\right)} ni \frac{y-4}{y-4} marotabaga ko'paytirish.

$$\frac{\left(4y+9\right)\left(y-1\right)}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}+\frac{7\left(y-4\right)}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}$$

\frac{\left(4y+9\right)\left(y-1\right)}{\left(y-4\right)\left(y-1\right)\left(y+6\right)} va \frac{7\left(y-4\right)}{\left(y-4\right)\left(y-1\right)\left(y+6\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(4y+9\right)\left(y-1\right)+7\left(y-4\right)}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}$$

\left(4y+9\right)\left(y-1\right)+7\left(y-4\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{4y^{2}-4y+9y-9+7y-28}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}$$

4y^{2}-4y+9y-9+7y-28 kabi iboralarga o‘xshab birlashtiring.

$$\frac{4y^{2}+12y-37}{\left(y-4\right)\left(y-1\right)\left(y+6\right)}$$

\left(y-4\right)\left(y-1\right)\left(y+6\right) ni kengaytirish.

$$\frac{4y^{2}+12y-37}{y^{3}+y^{2}-26y+24}$$