Baholash
\frac{6x^{3}+17x^{2}-6x-14}{\left(x+3\right)\left(2x+1\right)}
x ga nisbatan hosilani topish
\frac{12x^{4}+84x^{3}+185x^{2}+158x+80}{\left(\left(x+3\right)\left(2x+1\right)\right)^{2}}
Grafik
Baham ko'rish
Klipbordga nusxa olish
3x-3+\frac{1}{x+3}+1-\frac{3}{2x+1}
3x ni olish uchun 2x va x ni birlashtirish.
3x-2+\frac{1}{x+3}-\frac{3}{2x+1}
-2 olish uchun -3 va 1'ni qo'shing.
\frac{\left(3x-2\right)\left(x+3\right)}{x+3}+\frac{1}{x+3}-\frac{3}{2x+1}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3x-2 ni \frac{x+3}{x+3} marotabaga ko'paytirish.
\frac{\left(3x-2\right)\left(x+3\right)+1}{x+3}-\frac{3}{2x+1}
\frac{\left(3x-2\right)\left(x+3\right)}{x+3} va \frac{1}{x+3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{3x^{2}+9x-2x-6+1}{x+3}-\frac{3}{2x+1}
\left(3x-2\right)\left(x+3\right)+1 ichidagi ko‘paytirishlarni bajaring.
\frac{3x^{2}+7x-5}{x+3}-\frac{3}{2x+1}
3x^{2}+9x-2x-6+1 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(3x^{2}+7x-5\right)\left(2x+1\right)}{\left(x+3\right)\left(2x+1\right)}-\frac{3\left(x+3\right)}{\left(x+3\right)\left(2x+1\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+3 va 2x+1 ning eng kichik umumiy karralisi \left(x+3\right)\left(2x+1\right). \frac{3x^{2}+7x-5}{x+3} ni \frac{2x+1}{2x+1} marotabaga ko'paytirish. \frac{3}{2x+1} ni \frac{x+3}{x+3} marotabaga ko'paytirish.
\frac{\left(3x^{2}+7x-5\right)\left(2x+1\right)-3\left(x+3\right)}{\left(x+3\right)\left(2x+1\right)}
\frac{\left(3x^{2}+7x-5\right)\left(2x+1\right)}{\left(x+3\right)\left(2x+1\right)} va \frac{3\left(x+3\right)}{\left(x+3\right)\left(2x+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{6x^{3}+3x^{2}+14x^{2}+7x-10x-5-3x-9}{\left(x+3\right)\left(2x+1\right)}
\left(3x^{2}+7x-5\right)\left(2x+1\right)-3\left(x+3\right) ichidagi ko‘paytirishlarni bajaring.
\frac{6x^{3}+17x^{2}-6x-14}{\left(x+3\right)\left(2x+1\right)}
6x^{3}+3x^{2}+14x^{2}+7x-10x-5-3x-9 kabi iboralarga o‘xshab birlashtiring.
\frac{6x^{3}+17x^{2}-6x-14}{2x^{2}+7x+3}
\left(x+3\right)\left(2x+1\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}