7/x^2-4-5/x^2+4x+4 eching

$$\frac { 7 } { x ^ { 2 } - 4 } - \frac { 5 } { x ^ { 2 } + 4 x + 4 }$$

Baholash

$$\frac{2\left(x+12\right)}{\left(x-2\right)\left(x+2\right)^{2}}$$

Qisqa yechim qadamlari

Faktor: x^{2}-4. Faktor: x^{2}+4x+4.

$$\frac{7}{\left(x-2\right)\left(x+2\right)}-\frac{5}{\left(x+2\right)^{2}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-2\right)\left(x+2\right) va \left(x+2\right)^{2} ning eng kichik umumiy karralisi \left(x-2\right)\left(x+2\right)^{2}. \frac{7}{\left(x-2\right)\left(x+2\right)} ni \frac{x+2}{x+2} marotabaga ko'paytirish. \frac{5}{\left(x+2\right)^{2}} ni \frac{x-2}{x-2} marotabaga ko'paytirish.

$$\frac{7\left(x+2\right)}{\left(x-2\right)\left(x+2\right)^{2}}-\frac{5\left(x-2\right)}{\left(x-2\right)\left(x+2\right)^{2}}$$

\frac{7\left(x+2\right)}{\left(x-2\right)\left(x+2\right)^{2}} va \frac{5\left(x-2\right)}{\left(x-2\right)\left(x+2\right)^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{7\left(x+2\right)-5\left(x-2\right)}{\left(x-2\right)\left(x+2\right)^{2}}$$

7\left(x+2\right)-5\left(x-2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{7x+14-5x+10}{\left(x-2\right)\left(x+2\right)^{2}}$$

7x+14-5x+10 kabi iboralarga o‘xshab birlashtiring.

$$\frac{2x+24}{\left(x-2\right)\left(x+2\right)^{2}}$$

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

$$\frac{2x+24}{x^{3}+2x^{2}-4x-8}$$

x ga nisbatan hosilani topish

$$-\frac{\left(2x+17\right)^{2}-329}{\left(x-2\right)^{2}\left(x+2\right)^{3}}$$