Baholash
x+y
Kengaytirish
x+y
Baham ko'rish
Klipbordga nusxa olish
\frac{xy}{x-y}\left(\frac{xx}{xy}-\frac{yy}{xy}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y va x ning eng kichik umumiy karralisi xy. \frac{x}{y} ni \frac{x}{x} marotabaga ko'paytirish. \frac{y}{x} ni \frac{y}{y} marotabaga ko'paytirish.
\frac{xy}{x-y}\times \frac{xx-yy}{xy}
\frac{xx}{xy} va \frac{yy}{xy} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{xy}{x-y}\times \frac{x^{2}-y^{2}}{xy}
xx-yy ichidagi ko‘paytirishlarni bajaring.
\frac{xy\left(x^{2}-y^{2}\right)}{\left(x-y\right)xy}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{xy}{x-y} ni \frac{x^{2}-y^{2}}{xy} ga ko‘paytiring.
\frac{x^{2}-y^{2}}{x-y}
Surat va maxrajdagi ikkala xy ni qisqartiring.
\frac{\left(x+y\right)\left(x-y\right)}{x-y}
Hali faktorlanmagan ifodalarni faktorlang.
x+y
Surat va maxrajdagi ikkala x-y ni qisqartiring.
\frac{xy}{x-y}\left(\frac{xx}{xy}-\frac{yy}{xy}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y va x ning eng kichik umumiy karralisi xy. \frac{x}{y} ni \frac{x}{x} marotabaga ko'paytirish. \frac{y}{x} ni \frac{y}{y} marotabaga ko'paytirish.
\frac{xy}{x-y}\times \frac{xx-yy}{xy}
\frac{xx}{xy} va \frac{yy}{xy} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{xy}{x-y}\times \frac{x^{2}-y^{2}}{xy}
xx-yy ichidagi ko‘paytirishlarni bajaring.
\frac{xy\left(x^{2}-y^{2}\right)}{\left(x-y\right)xy}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{xy}{x-y} ni \frac{x^{2}-y^{2}}{xy} ga ko‘paytiring.
\frac{x^{2}-y^{2}}{x-y}
Surat va maxrajdagi ikkala xy ni qisqartiring.
\frac{\left(x+y\right)\left(x-y\right)}{x-y}
Hali faktorlanmagan ifodalarni faktorlang.
x+y
Surat va maxrajdagi ikkala x-y ni qisqartiring.
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}