Baholash
-\frac{\left(-x+y-3\right)\left(x+y\right)}{6\left(x-y\right)}
Kengaytirish
\frac{-x^{2}-3x+y^{2}-3y}{6\left(y-x\right)}
Baham ko'rish
Klipbordga nusxa olish
\frac{x+y}{2x-2y}+\frac{\left(x+y\right)\left(x-y\right)}{6\left(x-y\right)}
\frac{x^{2}-y^{2}}{6x-6y} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{x+y}{2x-2y}+\frac{x+y}{6}
Surat va maxrajdagi ikkala x-y ni qisqartiring.
\frac{x+y}{2\left(x-y\right)}+\frac{x+y}{6}
Faktor: 2x-2y.
\frac{-3\left(x+y\right)}{6\left(-x+y\right)}+\frac{\left(x+y\right)\left(-x+y\right)}{6\left(-x+y\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2\left(x-y\right) va 6 ning eng kichik umumiy karralisi 6\left(-x+y\right). \frac{x+y}{2\left(x-y\right)} ni \frac{-3}{-3} marotabaga ko'paytirish. \frac{x+y}{6} ni \frac{-x+y}{-x+y} marotabaga ko'paytirish.
\frac{-3\left(x+y\right)+\left(x+y\right)\left(-x+y\right)}{6\left(-x+y\right)}
\frac{-3\left(x+y\right)}{6\left(-x+y\right)} va \frac{\left(x+y\right)\left(-x+y\right)}{6\left(-x+y\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{-3x-3y-x^{2}+xy-yx+y^{2}}{6\left(-x+y\right)}
-3\left(x+y\right)+\left(x+y\right)\left(-x+y\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-3x-3y-x^{2}+y^{2}}{6\left(-x+y\right)}
-3x-3y-x^{2}+xy-yx+y^{2} kabi iboralarga o‘xshab birlashtiring.
\frac{-3x-3y-x^{2}+y^{2}}{-6x+6y}
6\left(-x+y\right) ni kengaytirish.
\frac{x+y}{2x-2y}+\frac{\left(x+y\right)\left(x-y\right)}{6\left(x-y\right)}
\frac{x^{2}-y^{2}}{6x-6y} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{x+y}{2x-2y}+\frac{x+y}{6}
Surat va maxrajdagi ikkala x-y ni qisqartiring.
\frac{x+y}{2\left(x-y\right)}+\frac{x+y}{6}
Faktor: 2x-2y.
\frac{-3\left(x+y\right)}{6\left(-x+y\right)}+\frac{\left(x+y\right)\left(-x+y\right)}{6\left(-x+y\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2\left(x-y\right) va 6 ning eng kichik umumiy karralisi 6\left(-x+y\right). \frac{x+y}{2\left(x-y\right)} ni \frac{-3}{-3} marotabaga ko'paytirish. \frac{x+y}{6} ni \frac{-x+y}{-x+y} marotabaga ko'paytirish.
\frac{-3\left(x+y\right)+\left(x+y\right)\left(-x+y\right)}{6\left(-x+y\right)}
\frac{-3\left(x+y\right)}{6\left(-x+y\right)} va \frac{\left(x+y\right)\left(-x+y\right)}{6\left(-x+y\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{-3x-3y-x^{2}+xy-yx+y^{2}}{6\left(-x+y\right)}
-3\left(x+y\right)+\left(x+y\right)\left(-x+y\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-3x-3y-x^{2}+y^{2}}{6\left(-x+y\right)}
-3x-3y-x^{2}+xy-yx+y^{2} kabi iboralarga o‘xshab birlashtiring.
\frac{-3x-3y-x^{2}+y^{2}}{-6x+6y}
6\left(-x+y\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}