6x/2(3x^2+2)+1/4(x+2) eching

$$\frac { 6 x } { 2 ( 3 x ^ { 2 } + 2 ) } + \frac { 1 } { 4 ( x + 2 ) }$$

Baholash

$$\frac{15x^{2}+24x+2}{4\left(x+2\right)\left(3x^{2}+2\right)}$$

Qisqa yechim qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{3x}{3x^{2}+2}+\frac{1}{4\left(x+2\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3x^{2}+2 va 4\left(x+2\right) ning eng kichik umumiy karralisi 4\left(x+2\right)\left(3x^{2}+2\right). \frac{3x}{3x^{2}+2} ni \frac{4\left(x+2\right)}{4\left(x+2\right)} marotabaga ko'paytirish. \frac{1}{4\left(x+2\right)} ni \frac{3x^{2}+2}{3x^{2}+2} marotabaga ko'paytirish.

$$\frac{3x\times 4\left(x+2\right)}{4\left(x+2\right)\left(3x^{2}+2\right)}+\frac{3x^{2}+2}{4\left(x+2\right)\left(3x^{2}+2\right)}$$

\frac{3x\times 4\left(x+2\right)}{4\left(x+2\right)\left(3x^{2}+2\right)} va \frac{3x^{2}+2}{4\left(x+2\right)\left(3x^{2}+2\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3x\times 4\left(x+2\right)+3x^{2}+2}{4\left(x+2\right)\left(3x^{2}+2\right)}$$

3x\times 4\left(x+2\right)+3x^{2}+2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{12x^{2}+24x+3x^{2}+2}{4\left(x+2\right)\left(3x^{2}+2\right)}$$

12x^{2}+24x+3x^{2}+2 kabi iboralarga o‘xshab birlashtiring.

$$\frac{15x^{2}+24x+2}{4\left(x+2\right)\left(3x^{2}+2\right)}$$

4\left(x+2\right)\left(3x^{2}+2\right) ni kengaytirish.

$$\frac{15x^{2}+24x+2}{12x^{3}+24x^{2}+8x+16}$$

Kengaytirish

$$\frac{15x^{2}+24x+2}{4\left(x+2\right)\left(3x^{2}+2\right)}$$

Qisqa yechim qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{3x}{3x^{2}+2}+\frac{1}{4\left(x+2\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3x^{2}+2 va 4\left(x+2\right) ning eng kichik umumiy karralisi 4\left(x+2\right)\left(3x^{2}+2\right). \frac{3x}{3x^{2}+2} ni \frac{4\left(x+2\right)}{4\left(x+2\right)} marotabaga ko'paytirish. \frac{1}{4\left(x+2\right)} ni \frac{3x^{2}+2}{3x^{2}+2} marotabaga ko'paytirish.

$$\frac{3x\times 4\left(x+2\right)}{4\left(x+2\right)\left(3x^{2}+2\right)}+\frac{3x^{2}+2}{4\left(x+2\right)\left(3x^{2}+2\right)}$$

\frac{3x\times 4\left(x+2\right)}{4\left(x+2\right)\left(3x^{2}+2\right)} va \frac{3x^{2}+2}{4\left(x+2\right)\left(3x^{2}+2\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3x\times 4\left(x+2\right)+3x^{2}+2}{4\left(x+2\right)\left(3x^{2}+2\right)}$$

3x\times 4\left(x+2\right)+3x^{2}+2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{12x^{2}+24x+3x^{2}+2}{4\left(x+2\right)\left(3x^{2}+2\right)}$$

12x^{2}+24x+3x^{2}+2 kabi iboralarga o‘xshab birlashtiring.

$$\frac{15x^{2}+24x+2}{4\left(x+2\right)\left(3x^{2}+2\right)}$$

4\left(x+2\right)\left(3x^{2}+2\right) ni kengaytirish.

$$\frac{15x^{2}+24x+2}{12x^{3}+24x^{2}+8x+16}$$