2x^2+1/2+3x^2-5/3 eching

$$\frac { 2 x ^ { 2 } + 1 } { 2 } + \frac { 3 x ^ { 2 } - 5 } { 3 }$$

Baholash

$$2x^{2}-\frac{7}{6}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 3 ning eng kichik umumiy karralisi 6. \frac{2x^{2}+1}{2} ni \frac{3}{3} marotabaga ko'paytirish. \frac{3x^{2}-5}{3} ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{3\left(2x^{2}+1\right)}{6}+\frac{2\left(3x^{2}-5\right)}{6}$$

\frac{3\left(2x^{2}+1\right)}{6} va \frac{2\left(3x^{2}-5\right)}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\left(2x^{2}+1\right)+2\left(3x^{2}-5\right)}{6}$$

3\left(2x^{2}+1\right)+2\left(3x^{2}-5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{6x^{2}+3+6x^{2}-10}{6}$$

6x^{2}+3+6x^{2}-10 kabi iboralarga o‘xshab birlashtiring.

$$\frac{12x^{2}-7}{6}$$

Kengaytirish

$$2x^{2}-\frac{7}{6}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 3 ning eng kichik umumiy karralisi 6. \frac{2x^{2}+1}{2} ni \frac{3}{3} marotabaga ko'paytirish. \frac{3x^{2}-5}{3} ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{3\left(2x^{2}+1\right)}{6}+\frac{2\left(3x^{2}-5\right)}{6}$$

\frac{3\left(2x^{2}+1\right)}{6} va \frac{2\left(3x^{2}-5\right)}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\left(2x^{2}+1\right)+2\left(3x^{2}-5\right)}{6}$$

3\left(2x^{2}+1\right)+2\left(3x^{2}-5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{6x^{2}+3+6x^{2}-10}{6}$$

6x^{2}+3+6x^{2}-10 kabi iboralarga o‘xshab birlashtiring.

$$\frac{12x^{2}-7}{6}$$