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\frac{\left(3x+1\right)\left(x+2\right)}{\left(x+1\right)\left(x+2\right)}+\frac{4x\left(x+1\right)}{\left(x+1\right)\left(x+2\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+1 va x+2 ning eng kichik umumiy karralisi \left(x+1\right)\left(x+2\right). \frac{3x+1}{x+1} ni \frac{x+2}{x+2} marotabaga ko'paytirish. \frac{4x}{x+2} ni \frac{x+1}{x+1} marotabaga ko'paytirish.
\frac{\left(3x+1\right)\left(x+2\right)+4x\left(x+1\right)}{\left(x+1\right)\left(x+2\right)}
\frac{\left(3x+1\right)\left(x+2\right)}{\left(x+1\right)\left(x+2\right)} va \frac{4x\left(x+1\right)}{\left(x+1\right)\left(x+2\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{3x^{2}+6x+x+2+4x^{2}+4x}{\left(x+1\right)\left(x+2\right)}
\left(3x+1\right)\left(x+2\right)+4x\left(x+1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{7x^{2}+11x+2}{\left(x+1\right)\left(x+2\right)}
3x^{2}+6x+x+2+4x^{2}+4x kabi iboralarga o‘xshab birlashtiring.
\frac{7x^{2}+11x+2}{x^{2}+3x+2}
\left(x+1\right)\left(x+2\right) ni kengaytirish.
\frac{\left(3x+1\right)\left(x+2\right)}{\left(x+1\right)\left(x+2\right)}+\frac{4x\left(x+1\right)}{\left(x+1\right)\left(x+2\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+1 va x+2 ning eng kichik umumiy karralisi \left(x+1\right)\left(x+2\right). \frac{3x+1}{x+1} ni \frac{x+2}{x+2} marotabaga ko'paytirish. \frac{4x}{x+2} ni \frac{x+1}{x+1} marotabaga ko'paytirish.
\frac{\left(3x+1\right)\left(x+2\right)+4x\left(x+1\right)}{\left(x+1\right)\left(x+2\right)}
\frac{\left(3x+1\right)\left(x+2\right)}{\left(x+1\right)\left(x+2\right)} va \frac{4x\left(x+1\right)}{\left(x+1\right)\left(x+2\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{3x^{2}+6x+x+2+4x^{2}+4x}{\left(x+1\right)\left(x+2\right)}
\left(3x+1\right)\left(x+2\right)+4x\left(x+1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{7x^{2}+11x+2}{\left(x+1\right)\left(x+2\right)}
3x^{2}+6x+x+2+4x^{2}+4x kabi iboralarga o‘xshab birlashtiring.
\frac{7x^{2}+11x+2}{x^{2}+3x+2}
\left(x+1\right)\left(x+2\right) ni kengaytirish.