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