Baholash
\frac{x^{3}+2x^{2}-4x+6}{x\left(x+2\right)\left(x+3\right)}
Kengaytirish
\frac{x^{3}+2x^{2}-4x+6}{x\left(x+2\right)\left(x+3\right)}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{\left(2x-3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)}-\frac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+2 va x+3 ning eng kichik umumiy karralisi \left(x+2\right)\left(x+3\right). \frac{2x-3}{x+2} ni \frac{x+3}{x+3} marotabaga ko'paytirish. \frac{x}{x+3} ni \frac{x+2}{x+2} marotabaga ko'paytirish.
\frac{\left(2x-3\right)\left(x+3\right)-x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
\frac{\left(2x-3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)} va \frac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{2x^{2}+6x-3x-9-x^{2}-2x}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
\left(2x-3\right)\left(x+3\right)-x\left(x+2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x^{2}+x-9}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
2x^{2}+6x-3x-9-x^{2}-2x kabi iboralarga o‘xshab birlashtiring.
\frac{\left(x^{2}+x-9\right)x}{x\left(x+2\right)\left(x+3\right)}+\frac{\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x+2\right)\left(x+3\right) va x ning eng kichik umumiy karralisi x\left(x+2\right)\left(x+3\right). \frac{x^{2}+x-9}{\left(x+2\right)\left(x+3\right)} ni \frac{x}{x} marotabaga ko'paytirish. \frac{1}{x} ni \frac{\left(x+2\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)} marotabaga ko'paytirish.
\frac{\left(x^{2}+x-9\right)x+\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)}
\frac{\left(x^{2}+x-9\right)x}{x\left(x+2\right)\left(x+3\right)} va \frac{\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{x^{3}+x^{2}-9x+x^{2}+3x+2x+6}{x\left(x+2\right)\left(x+3\right)}
\left(x^{2}+x-9\right)x+\left(x+2\right)\left(x+3\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x^{3}+2x^{2}-4x+6}{x\left(x+2\right)\left(x+3\right)}
x^{3}+x^{2}-9x+x^{2}+3x+2x+6 kabi iboralarga o‘xshab birlashtiring.
\frac{x^{3}+2x^{2}-4x+6}{x^{3}+5x^{2}+6x}
x\left(x+2\right)\left(x+3\right) ni kengaytirish.
\frac{\left(2x-3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)}-\frac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+2 va x+3 ning eng kichik umumiy karralisi \left(x+2\right)\left(x+3\right). \frac{2x-3}{x+2} ni \frac{x+3}{x+3} marotabaga ko'paytirish. \frac{x}{x+3} ni \frac{x+2}{x+2} marotabaga ko'paytirish.
\frac{\left(2x-3\right)\left(x+3\right)-x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
\frac{\left(2x-3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)} va \frac{x\left(x+2\right)}{\left(x+2\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{2x^{2}+6x-3x-9-x^{2}-2x}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
\left(2x-3\right)\left(x+3\right)-x\left(x+2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x^{2}+x-9}{\left(x+2\right)\left(x+3\right)}+\frac{1}{x}
2x^{2}+6x-3x-9-x^{2}-2x kabi iboralarga o‘xshab birlashtiring.
\frac{\left(x^{2}+x-9\right)x}{x\left(x+2\right)\left(x+3\right)}+\frac{\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x+2\right)\left(x+3\right) va x ning eng kichik umumiy karralisi x\left(x+2\right)\left(x+3\right). \frac{x^{2}+x-9}{\left(x+2\right)\left(x+3\right)} ni \frac{x}{x} marotabaga ko'paytirish. \frac{1}{x} ni \frac{\left(x+2\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)} marotabaga ko'paytirish.
\frac{\left(x^{2}+x-9\right)x+\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)}
\frac{\left(x^{2}+x-9\right)x}{x\left(x+2\right)\left(x+3\right)} va \frac{\left(x+2\right)\left(x+3\right)}{x\left(x+2\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{x^{3}+x^{2}-9x+x^{2}+3x+2x+6}{x\left(x+2\right)\left(x+3\right)}
\left(x^{2}+x-9\right)x+\left(x+2\right)\left(x+3\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x^{3}+2x^{2}-4x+6}{x\left(x+2\right)\left(x+3\right)}
x^{3}+x^{2}-9x+x^{2}+3x+2x+6 kabi iboralarga o‘xshab birlashtiring.
\frac{x^{3}+2x^{2}-4x+6}{x^{3}+5x^{2}+6x}
x\left(x+2\right)\left(x+3\right) ni kengaytirish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
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}