Baholash
\frac{2\left(x^{2}+3x+18\right)}{x^{2}-9}
Kengaytirish
\frac{2\left(x^{2}+3x+18\right)}{x^{2}-9}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{x\left(x+9\right)}{x\left(x-3\right)}+\frac{x^{2}-9}{x^{2}+6x+9}
\frac{x^{2}+9x}{x^{2}-3x} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{x+9}{x-3}+\frac{x^{2}-9}{x^{2}+6x+9}
Surat va maxrajdagi ikkala x ni qisqartiring.
\frac{x+9}{x-3}+\frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)^{2}}
\frac{x^{2}-9}{x^{2}+6x+9} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{x+9}{x-3}+\frac{x-3}{x+3}
Surat va maxrajdagi ikkala x+3 ni qisqartiring.
\frac{\left(x+9\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}+\frac{\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-3 va x+3 ning eng kichik umumiy karralisi \left(x-3\right)\left(x+3\right). \frac{x+9}{x-3} ni \frac{x+3}{x+3} marotabaga ko'paytirish. \frac{x-3}{x+3} ni \frac{x-3}{x-3} marotabaga ko'paytirish.
\frac{\left(x+9\right)\left(x+3\right)+\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}
\frac{\left(x+9\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)} va \frac{\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{x^{2}+3x+9x+27+x^{2}-3x-3x+9}{\left(x-3\right)\left(x+3\right)}
\left(x+9\right)\left(x+3\right)+\left(x-3\right)\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.
\frac{2x^{2}+6x+36}{\left(x-3\right)\left(x+3\right)}
x^{2}+3x+9x+27+x^{2}-3x-3x+9 kabi iboralarga o‘xshab birlashtiring.
\frac{2x^{2}+6x+36}{x^{2}-9}
\left(x-3\right)\left(x+3\right) ni kengaytirish.
\frac{x\left(x+9\right)}{x\left(x-3\right)}+\frac{x^{2}-9}{x^{2}+6x+9}
\frac{x^{2}+9x}{x^{2}-3x} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{x+9}{x-3}+\frac{x^{2}-9}{x^{2}+6x+9}
Surat va maxrajdagi ikkala x ni qisqartiring.
\frac{x+9}{x-3}+\frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)^{2}}
\frac{x^{2}-9}{x^{2}+6x+9} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{x+9}{x-3}+\frac{x-3}{x+3}
Surat va maxrajdagi ikkala x+3 ni qisqartiring.
\frac{\left(x+9\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}+\frac{\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-3 va x+3 ning eng kichik umumiy karralisi \left(x-3\right)\left(x+3\right). \frac{x+9}{x-3} ni \frac{x+3}{x+3} marotabaga ko'paytirish. \frac{x-3}{x+3} ni \frac{x-3}{x-3} marotabaga ko'paytirish.
\frac{\left(x+9\right)\left(x+3\right)+\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}
\frac{\left(x+9\right)\left(x+3\right)}{\left(x-3\right)\left(x+3\right)} va \frac{\left(x-3\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{x^{2}+3x+9x+27+x^{2}-3x-3x+9}{\left(x-3\right)\left(x+3\right)}
\left(x+9\right)\left(x+3\right)+\left(x-3\right)\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.
\frac{2x^{2}+6x+36}{\left(x-3\right)\left(x+3\right)}
x^{2}+3x+9x+27+x^{2}-3x-3x+9 kabi iboralarga o‘xshab birlashtiring.
\frac{2x^{2}+6x+36}{x^{2}-9}
\left(x-3\right)\left(x+3\right) ni kengaytirish.
Misollar
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Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}