Baholash
\frac{x-1}{x+4}
Kengaytirish
\frac{x-1}{x+4}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{3x^{2}+4x-5}{\left(x+1\right)\left(x+4\right)}-\frac{2x}{x+1}+\frac{4}{x+4}
Faktor: x^{2}+5x+4.
\frac{3x^{2}+4x-5}{\left(x+1\right)\left(x+4\right)}-\frac{2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x+1\right)\left(x+4\right) va x+1 ning eng kichik umumiy karralisi \left(x+1\right)\left(x+4\right). \frac{2x}{x+1} ni \frac{x+4}{x+4} marotabaga ko'paytirish.
\frac{3x^{2}+4x-5-2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}
\frac{3x^{2}+4x-5}{\left(x+1\right)\left(x+4\right)} va \frac{2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{3x^{2}+4x-5-2x^{2}-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}
3x^{2}+4x-5-2x\left(x+4\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x^{2}-4x-5}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}
3x^{2}+4x-5-2x^{2}-8x kabi iboralarga o‘xshab birlashtiring.
\frac{\left(x-5\right)\left(x+1\right)}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}
\frac{x^{2}-4x-5}{\left(x+1\right)\left(x+4\right)} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{x-5}{x+4}+\frac{4}{x+4}
Surat va maxrajdagi ikkala x+1 ni qisqartiring.
\frac{x-5+4}{x+4}
\frac{x-5}{x+4} va \frac{4}{x+4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{x-1}{x+4}
x-5+4 kabi iboralarga o‘xshab birlashtiring.
\frac{3x^{2}+4x-5}{\left(x+1\right)\left(x+4\right)}-\frac{2x}{x+1}+\frac{4}{x+4}
Faktor: x^{2}+5x+4.
\frac{3x^{2}+4x-5}{\left(x+1\right)\left(x+4\right)}-\frac{2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x+1\right)\left(x+4\right) va x+1 ning eng kichik umumiy karralisi \left(x+1\right)\left(x+4\right). \frac{2x}{x+1} ni \frac{x+4}{x+4} marotabaga ko'paytirish.
\frac{3x^{2}+4x-5-2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}
\frac{3x^{2}+4x-5}{\left(x+1\right)\left(x+4\right)} va \frac{2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{3x^{2}+4x-5-2x^{2}-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}
3x^{2}+4x-5-2x\left(x+4\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x^{2}-4x-5}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}
3x^{2}+4x-5-2x^{2}-8x kabi iboralarga o‘xshab birlashtiring.
\frac{\left(x-5\right)\left(x+1\right)}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}
\frac{x^{2}-4x-5}{\left(x+1\right)\left(x+4\right)} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{x-5}{x+4}+\frac{4}{x+4}
Surat va maxrajdagi ikkala x+1 ni qisqartiring.
\frac{x-5+4}{x+4}
\frac{x-5}{x+4} va \frac{4}{x+4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{x-1}{x+4}
x-5+4 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}