6+((x+5) \div \frac{ { x }^{ 2 } +3x-10 }{ x-1 }
Baholash
\frac{7x-13}{x-2}
Kengaytirish
\frac{7x-13}{x-2}
Grafik
Baham ko'rish
Klipbordga nusxa olish
6+\frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10}
x+5 ni \frac{x^{2}+3x-10}{x-1} ga bo'lish x+5 ga k'paytirish \frac{x^{2}+3x-10}{x-1} ga qaytarish.
6+\frac{\left(x-1\right)\left(x+5\right)}{\left(x-2\right)\left(x+5\right)}
\frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10} ichida hali faktorlanmagan ifodalarni faktorlang.
6+\frac{x-1}{x-2}
Surat va maxrajdagi ikkala x+5 ni qisqartiring.
\frac{6\left(x-2\right)}{x-2}+\frac{x-1}{x-2}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6 ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{6\left(x-2\right)+x-1}{x-2}
\frac{6\left(x-2\right)}{x-2} va \frac{x-1}{x-2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{6x-12+x-1}{x-2}
6\left(x-2\right)+x-1 ichidagi ko‘paytirishlarni bajaring.
\frac{7x-13}{x-2}
6x-12+x-1 kabi iboralarga o‘xshab birlashtiring.
6+\frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10}
x+5 ni \frac{x^{2}+3x-10}{x-1} ga bo'lish x+5 ga k'paytirish \frac{x^{2}+3x-10}{x-1} ga qaytarish.
6+\frac{\left(x-1\right)\left(x+5\right)}{\left(x-2\right)\left(x+5\right)}
\frac{\left(x+5\right)\left(x-1\right)}{x^{2}+3x-10} ichida hali faktorlanmagan ifodalarni faktorlang.
6+\frac{x-1}{x-2}
Surat va maxrajdagi ikkala x+5 ni qisqartiring.
\frac{6\left(x-2\right)}{x-2}+\frac{x-1}{x-2}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6 ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{6\left(x-2\right)+x-1}{x-2}
\frac{6\left(x-2\right)}{x-2} va \frac{x-1}{x-2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{6x-12+x-1}{x-2}
6\left(x-2\right)+x-1 ichidagi ko‘paytirishlarni bajaring.
\frac{7x-13}{x-2}
6x-12+x-1 kabi iboralarga o‘xshab birlashtiring.
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}