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\frac{4x\left(x+4\right)}{\left(x+4\right)\left(x+9\right)}-\frac{\left(x+1\right)\left(x+9\right)}{\left(x+4\right)\left(x+9\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+9 va x+4 ning eng kichik umumiy karralisi \left(x+4\right)\left(x+9\right). \frac{4x}{x+9} ni \frac{x+4}{x+4} marotabaga ko'paytirish. \frac{x+1}{x+4} ni \frac{x+9}{x+9} marotabaga ko'paytirish.
\frac{4x\left(x+4\right)-\left(x+1\right)\left(x+9\right)}{\left(x+4\right)\left(x+9\right)}
\frac{4x\left(x+4\right)}{\left(x+4\right)\left(x+9\right)} va \frac{\left(x+1\right)\left(x+9\right)}{\left(x+4\right)\left(x+9\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{4x^{2}+16x-x^{2}-9x-x-9}{\left(x+4\right)\left(x+9\right)}
4x\left(x+4\right)-\left(x+1\right)\left(x+9\right) ichidagi ko‘paytirishlarni bajaring.
\frac{3x^{2}+6x-9}{\left(x+4\right)\left(x+9\right)}
4x^{2}+16x-x^{2}-9x-x-9 kabi iboralarga o‘xshab birlashtiring.
\frac{3x^{2}+6x-9}{x^{2}+13x+36}
\left(x+4\right)\left(x+9\right) ni kengaytirish.
\frac{4x\left(x+4\right)}{\left(x+4\right)\left(x+9\right)}-\frac{\left(x+1\right)\left(x+9\right)}{\left(x+4\right)\left(x+9\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+9 va x+4 ning eng kichik umumiy karralisi \left(x+4\right)\left(x+9\right). \frac{4x}{x+9} ni \frac{x+4}{x+4} marotabaga ko'paytirish. \frac{x+1}{x+4} ni \frac{x+9}{x+9} marotabaga ko'paytirish.
\frac{4x\left(x+4\right)-\left(x+1\right)\left(x+9\right)}{\left(x+4\right)\left(x+9\right)}
\frac{4x\left(x+4\right)}{\left(x+4\right)\left(x+9\right)} va \frac{\left(x+1\right)\left(x+9\right)}{\left(x+4\right)\left(x+9\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{4x^{2}+16x-x^{2}-9x-x-9}{\left(x+4\right)\left(x+9\right)}
4x\left(x+4\right)-\left(x+1\right)\left(x+9\right) ichidagi ko‘paytirishlarni bajaring.
\frac{3x^{2}+6x-9}{\left(x+4\right)\left(x+9\right)}
4x^{2}+16x-x^{2}-9x-x-9 kabi iboralarga o‘xshab birlashtiring.
\frac{3x^{2}+6x-9}{x^{2}+13x+36}
\left(x+4\right)\left(x+9\right) ni kengaytirish.