Baholash
2\left(x+2\right)
Kengaytirish
2x+4
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{3x\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}-\frac{x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-1 va x+1 ning eng kichik umumiy karralisi \left(x-1\right)\left(x+1\right). \frac{3x}{x-1} ni \frac{x+1}{x+1} marotabaga ko'paytirish. \frac{x}{x+1} ni \frac{x-1}{x-1} marotabaga ko'paytirish.
\frac{\frac{3x\left(x+1\right)-x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
\frac{3x\left(x+1\right)}{\left(x-1\right)\left(x+1\right)} va \frac{x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{3x^{2}+3x-x^{2}+x}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
3x\left(x+1\right)-x\left(x-1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
3x^{2}+3x-x^{2}+x kabi iboralarga o‘xshab birlashtiring.
\frac{\left(2x^{2}+4x\right)\left(x^{2}-1\right)}{\left(x-1\right)\left(x+1\right)x}
\frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)} ni \frac{x}{x^{2}-1} ga bo'lish \frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)} ga k'paytirish \frac{x}{x^{2}-1} ga qaytarish.
\frac{2x\left(x-1\right)\left(x+1\right)\left(x+2\right)}{x\left(x-1\right)\left(x+1\right)}
Hali faktorlanmagan ifodalarni faktorlang.
2\left(x+2\right)
Surat va maxrajdagi ikkala x\left(x-1\right)\left(x+1\right) ni qisqartiring.
2x+4
Ifodani kengaytiring.
\frac{\frac{3x\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}-\frac{x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-1 va x+1 ning eng kichik umumiy karralisi \left(x-1\right)\left(x+1\right). \frac{3x}{x-1} ni \frac{x+1}{x+1} marotabaga ko'paytirish. \frac{x}{x+1} ni \frac{x-1}{x-1} marotabaga ko'paytirish.
\frac{\frac{3x\left(x+1\right)-x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
\frac{3x\left(x+1\right)}{\left(x-1\right)\left(x+1\right)} va \frac{x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{3x^{2}+3x-x^{2}+x}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
3x\left(x+1\right)-x\left(x-1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)}}{\frac{x}{x^{2}-1}}
3x^{2}+3x-x^{2}+x kabi iboralarga o‘xshab birlashtiring.
\frac{\left(2x^{2}+4x\right)\left(x^{2}-1\right)}{\left(x-1\right)\left(x+1\right)x}
\frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)} ni \frac{x}{x^{2}-1} ga bo'lish \frac{2x^{2}+4x}{\left(x-1\right)\left(x+1\right)} ga k'paytirish \frac{x}{x^{2}-1} ga qaytarish.
\frac{2x\left(x-1\right)\left(x+1\right)\left(x+2\right)}{x\left(x-1\right)\left(x+1\right)}
Hali faktorlanmagan ifodalarni faktorlang.
2\left(x+2\right)
Surat va maxrajdagi ikkala x\left(x-1\right)\left(x+1\right) ni qisqartiring.
2x+4
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}