Baholash
\frac{5+3x-5x^{2}}{x^{2}\left(1-x^{2}\right)}
x ga nisbatan hosilani topish
\frac{-10x^{4}+9x^{3}+20x^{2}-3x-10}{x^{3}\left(x^{2}-1\right)^{2}}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{2}{x\left(x-1\right)}+\frac{5}{\left(-x+1\right)x^{2}}+\frac{3}{x^{2}-1}
Faktor: x^{2}-x. Faktor: x^{2}-x^{3}.
\frac{2x}{\left(x-1\right)x^{2}}+\frac{5\left(-1\right)}{\left(x-1\right)x^{2}}+\frac{3}{x^{2}-1}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x\left(x-1\right) va \left(-x+1\right)x^{2} ning eng kichik umumiy karralisi \left(x-1\right)x^{2}. \frac{2}{x\left(x-1\right)} ni \frac{x}{x} marotabaga ko'paytirish. \frac{5}{\left(-x+1\right)x^{2}} ni \frac{-1}{-1} marotabaga ko'paytirish.
\frac{2x+5\left(-1\right)}{\left(x-1\right)x^{2}}+\frac{3}{x^{2}-1}
\frac{2x}{\left(x-1\right)x^{2}} va \frac{5\left(-1\right)}{\left(x-1\right)x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{2x-5}{\left(x-1\right)x^{2}}+\frac{3}{x^{2}-1}
2x+5\left(-1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{2x-5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}
Faktor: x^{2}-1.
\frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}}+\frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-1\right)x^{2} va \left(x-1\right)\left(x+1\right) ning eng kichik umumiy karralisi \left(x-1\right)\left(x+1\right)x^{2}. \frac{2x-5}{\left(x-1\right)x^{2}} ni \frac{x+1}{x+1} marotabaga ko'paytirish. \frac{3}{\left(x-1\right)\left(x+1\right)} ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.
\frac{\left(2x-5\right)\left(x+1\right)+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}
\frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}} va \frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{2x^{2}+2x-5x-5+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}
\left(2x-5\right)\left(x+1\right)+3x^{2} ichidagi ko‘paytirishlarni bajaring.
\frac{5x^{2}-3x-5}{\left(x-1\right)\left(x+1\right)x^{2}}
2x^{2}+2x-5x-5+3x^{2} kabi iboralarga o‘xshab birlashtiring.
\frac{5x^{2}-3x-5}{x^{4}-x^{2}}
\left(x-1\right)\left(x+1\right)x^{2} 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}