Baholash
\frac{6x\left(7-2x\right)}{4x^{2}-9}
Kengaytirish
-\frac{6\left(2x^{2}-7x\right)}{4x^{2}-9}
Grafik
Viktorina
Polynomial
5xshash muammolar:
( \frac { 2 x + 3 } { 2 x - 3 } - \frac { 8 x - 3 } { 2 x + 3 } )
Baham ko'rish
Klipbordga nusxa olish
\frac{\left(2x+3\right)\left(2x+3\right)}{\left(2x-3\right)\left(2x+3\right)}-\frac{\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2x-3 va 2x+3 ning eng kichik umumiy karralisi \left(2x-3\right)\left(2x+3\right). \frac{2x+3}{2x-3} ni \frac{2x+3}{2x+3} marotabaga ko'paytirish. \frac{8x-3}{2x+3} ni \frac{2x-3}{2x-3} marotabaga ko'paytirish.
\frac{\left(2x+3\right)\left(2x+3\right)-\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)}
\frac{\left(2x+3\right)\left(2x+3\right)}{\left(2x-3\right)\left(2x+3\right)} va \frac{\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{4x^{2}+6x+6x+9-16x^{2}+24x+6x-9}{\left(2x-3\right)\left(2x+3\right)}
\left(2x+3\right)\left(2x+3\right)-\left(8x-3\right)\left(2x-3\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-12x^{2}+42x}{\left(2x-3\right)\left(2x+3\right)}
4x^{2}+6x+6x+9-16x^{2}+24x+6x-9 kabi iboralarga o‘xshab birlashtiring.
\frac{-12x^{2}+42x}{4x^{2}-9}
\left(2x-3\right)\left(2x+3\right) ni kengaytirish.
\frac{\left(2x+3\right)\left(2x+3\right)}{\left(2x-3\right)\left(2x+3\right)}-\frac{\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2x-3 va 2x+3 ning eng kichik umumiy karralisi \left(2x-3\right)\left(2x+3\right). \frac{2x+3}{2x-3} ni \frac{2x+3}{2x+3} marotabaga ko'paytirish. \frac{8x-3}{2x+3} ni \frac{2x-3}{2x-3} marotabaga ko'paytirish.
\frac{\left(2x+3\right)\left(2x+3\right)-\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)}
\frac{\left(2x+3\right)\left(2x+3\right)}{\left(2x-3\right)\left(2x+3\right)} va \frac{\left(8x-3\right)\left(2x-3\right)}{\left(2x-3\right)\left(2x+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{4x^{2}+6x+6x+9-16x^{2}+24x+6x-9}{\left(2x-3\right)\left(2x+3\right)}
\left(2x+3\right)\left(2x+3\right)-\left(8x-3\right)\left(2x-3\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-12x^{2}+42x}{\left(2x-3\right)\left(2x+3\right)}
4x^{2}+6x+6x+9-16x^{2}+24x+6x-9 kabi iboralarga o‘xshab birlashtiring.
\frac{-12x^{2}+42x}{4x^{2}-9}
\left(2x-3\right)\left(2x+3\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}