Baholash
\left(\frac{x-1}{x}\right)^{2}
Kengaytirish
1-\frac{2}{x}+\frac{1}{x^{2}}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{x^{2}}{x^{2}}-\frac{2}{x^{2}}+\frac{1}{x^{4}}}{1+\frac{2}{x}+\frac{1}{x^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.
\frac{\frac{x^{2}-2}{x^{2}}+\frac{1}{x^{4}}}{1+\frac{2}{x}+\frac{1}{x^{2}}}
\frac{x^{2}}{x^{2}} va \frac{2}{x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{\left(x^{2}-2\right)x^{2}}{x^{4}}+\frac{1}{x^{4}}}{1+\frac{2}{x}+\frac{1}{x^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} va x^{4} ning eng kichik umumiy karralisi x^{4}. \frac{x^{2}-2}{x^{2}} ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.
\frac{\frac{\left(x^{2}-2\right)x^{2}+1}{x^{4}}}{1+\frac{2}{x}+\frac{1}{x^{2}}}
\frac{\left(x^{2}-2\right)x^{2}}{x^{4}} va \frac{1}{x^{4}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{1+\frac{2}{x}+\frac{1}{x^{2}}}
\left(x^{2}-2\right)x^{2}+1 ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{\frac{x}{x}+\frac{2}{x}+\frac{1}{x^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x}{x} marotabaga ko'paytirish.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{\frac{x+2}{x}+\frac{1}{x^{2}}}
\frac{x}{x} va \frac{2}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{\frac{\left(x+2\right)x}{x^{2}}+\frac{1}{x^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x va x^{2} ning eng kichik umumiy karralisi x^{2}. \frac{x+2}{x} ni \frac{x}{x} marotabaga ko'paytirish.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{\frac{\left(x+2\right)x+1}{x^{2}}}
\frac{\left(x+2\right)x}{x^{2}} va \frac{1}{x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{\frac{x^{2}+2x+1}{x^{2}}}
\left(x+2\right)x+1 ichidagi ko‘paytirishlarni bajaring.
\frac{\left(x^{4}-2x^{2}+1\right)x^{2}}{x^{4}\left(x^{2}+2x+1\right)}
\frac{x^{4}-2x^{2}+1}{x^{4}} ni \frac{x^{2}+2x+1}{x^{2}} ga bo'lish \frac{x^{4}-2x^{2}+1}{x^{4}} ga k'paytirish \frac{x^{2}+2x+1}{x^{2}} ga qaytarish.
\frac{x^{4}-2x^{2}+1}{x^{2}\left(x^{2}+2x+1\right)}
Surat va maxrajdagi ikkala x^{2} ni qisqartiring.
\frac{\left(x-1\right)^{2}\left(x+1\right)^{2}}{x^{2}\left(x+1\right)^{2}}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{\left(x-1\right)^{2}}{x^{2}}
Surat va maxrajdagi ikkala \left(x+1\right)^{2} ni qisqartiring.
\frac{x^{2}-2x+1}{x^{2}}
Ifodani kengaytiring.
\frac{\frac{x^{2}}{x^{2}}-\frac{2}{x^{2}}+\frac{1}{x^{4}}}{1+\frac{2}{x}+\frac{1}{x^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.
\frac{\frac{x^{2}-2}{x^{2}}+\frac{1}{x^{4}}}{1+\frac{2}{x}+\frac{1}{x^{2}}}
\frac{x^{2}}{x^{2}} va \frac{2}{x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{\left(x^{2}-2\right)x^{2}}{x^{4}}+\frac{1}{x^{4}}}{1+\frac{2}{x}+\frac{1}{x^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} va x^{4} ning eng kichik umumiy karralisi x^{4}. \frac{x^{2}-2}{x^{2}} ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.
\frac{\frac{\left(x^{2}-2\right)x^{2}+1}{x^{4}}}{1+\frac{2}{x}+\frac{1}{x^{2}}}
\frac{\left(x^{2}-2\right)x^{2}}{x^{4}} va \frac{1}{x^{4}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{1+\frac{2}{x}+\frac{1}{x^{2}}}
\left(x^{2}-2\right)x^{2}+1 ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{\frac{x}{x}+\frac{2}{x}+\frac{1}{x^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x}{x} marotabaga ko'paytirish.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{\frac{x+2}{x}+\frac{1}{x^{2}}}
\frac{x}{x} va \frac{2}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{\frac{\left(x+2\right)x}{x^{2}}+\frac{1}{x^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x va x^{2} ning eng kichik umumiy karralisi x^{2}. \frac{x+2}{x} ni \frac{x}{x} marotabaga ko'paytirish.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{\frac{\left(x+2\right)x+1}{x^{2}}}
\frac{\left(x+2\right)x}{x^{2}} va \frac{1}{x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{x^{4}-2x^{2}+1}{x^{4}}}{\frac{x^{2}+2x+1}{x^{2}}}
\left(x+2\right)x+1 ichidagi ko‘paytirishlarni bajaring.
\frac{\left(x^{4}-2x^{2}+1\right)x^{2}}{x^{4}\left(x^{2}+2x+1\right)}
\frac{x^{4}-2x^{2}+1}{x^{4}} ni \frac{x^{2}+2x+1}{x^{2}} ga bo'lish \frac{x^{4}-2x^{2}+1}{x^{4}} ga k'paytirish \frac{x^{2}+2x+1}{x^{2}} ga qaytarish.
\frac{x^{4}-2x^{2}+1}{x^{2}\left(x^{2}+2x+1\right)}
Surat va maxrajdagi ikkala x^{2} ni qisqartiring.
\frac{\left(x-1\right)^{2}\left(x+1\right)^{2}}{x^{2}\left(x+1\right)^{2}}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{\left(x-1\right)^{2}}{x^{2}}
Surat va maxrajdagi ikkala \left(x+1\right)^{2} ni qisqartiring.
\frac{x^{2}-2x+1}{x^{2}}
Ifodani kengaytiring.
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}