19/x^2+10x+25+3/x+5 eching

$$\frac { 19 } { x ^ { 2 } + 10 x + 25 } + \frac { 3 } { x + 5 }$$

Baholash

$$\frac{3x+34}{\left(x+5\right)^{2}}$$

Qisqa yechim qadamlari

Faktor: x^{2}+10x+25.

$$\frac{19}{\left(x+5\right)^{2}}+\frac{3}{x+5}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x+5\right)^{2} va x+5 ning eng kichik umumiy karralisi \left(x+5\right)^{2}. \frac{3}{x+5} ni \frac{x+5}{x+5} marotabaga ko'paytirish.

$$\frac{19}{\left(x+5\right)^{2}}+\frac{3\left(x+5\right)}{\left(x+5\right)^{2}}$$

\frac{19}{\left(x+5\right)^{2}} va \frac{3\left(x+5\right)}{\left(x+5\right)^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{19+3\left(x+5\right)}{\left(x+5\right)^{2}}$$

19+3\left(x+5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{19+3x+15}{\left(x+5\right)^{2}}$$

19+3x+15 kabi iboralarga o‘xshab birlashtiring.

$$\frac{34+3x}{\left(x+5\right)^{2}}$$

\left(x+5\right)^{2} ni kengaytirish.

$$\frac{34+3x}{x^{2}+10x+25}$$

x ga nisbatan hosilani topish

$$\frac{-3x-53}{\left(x+5\right)^{3}}$$