Baholash
\frac{\left(x-3\right)x^{2}}{x^{2}-1}
Kengaytirish
\frac{x^{3}-3x^{2}}{x^{2}-1}
Grafik
Baham ko'rish
Klipbordga nusxa olish
x-3+\frac{x-3}{\left(x-1\right)\left(x+1\right)}
Faktor: x^{2}-1.
\frac{\left(x-3\right)\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}+\frac{x-3}{\left(x-1\right)\left(x+1\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-3 ni \frac{\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)} marotabaga ko'paytirish.
\frac{\left(x-3\right)\left(x-1\right)\left(x+1\right)+x-3}{\left(x-1\right)\left(x+1\right)}
\frac{\left(x-3\right)\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)} va \frac{x-3}{\left(x-1\right)\left(x+1\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{x^{3}-x-3x^{2}+3+x-3}{\left(x-1\right)\left(x+1\right)}
\left(x-3\right)\left(x-1\right)\left(x+1\right)+x-3 ichidagi ko‘paytirishlarni bajaring.
\frac{x^{3}-3x^{2}}{\left(x-1\right)\left(x+1\right)}
x^{3}-x-3x^{2}+3+x-3 kabi iboralarga o‘xshab birlashtiring.
\frac{x^{3}-3x^{2}}{x^{2}-1}
\left(x-1\right)\left(x+1\right) ni kengaytirish.
x-3+\frac{x-3}{\left(x-1\right)\left(x+1\right)}
Faktor: x^{2}-1.
\frac{\left(x-3\right)\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}+\frac{x-3}{\left(x-1\right)\left(x+1\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-3 ni \frac{\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)} marotabaga ko'paytirish.
\frac{\left(x-3\right)\left(x-1\right)\left(x+1\right)+x-3}{\left(x-1\right)\left(x+1\right)}
\frac{\left(x-3\right)\left(x-1\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)} va \frac{x-3}{\left(x-1\right)\left(x+1\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{x^{3}-x-3x^{2}+3+x-3}{\left(x-1\right)\left(x+1\right)}
\left(x-3\right)\left(x-1\right)\left(x+1\right)+x-3 ichidagi ko‘paytirishlarni bajaring.
\frac{x^{3}-3x^{2}}{\left(x-1\right)\left(x+1\right)}
x^{3}-x-3x^{2}+3+x-3 kabi iboralarga o‘xshab birlashtiring.
\frac{x^{3}-3x^{2}}{x^{2}-1}
\left(x-1\right)\left(x+1\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}