Baholash
\frac{\left(a-2\right)\left(2a+3\right)}{2\left(a-1\right)}
Kengaytirish
\frac{2a^{2}-a-6}{2\left(a-1\right)}
Viktorina
Polynomial
5xshash muammolar:
( a + 1 - \frac { 3 } { a - 1 } ) - \frac { a - 2 } { 2 a - 2 }
Baham ko'rish
Klipbordga nusxa olish
\frac{\left(a+1\right)\left(a-1\right)}{a-1}-\frac{3}{a-1}-\frac{a-2}{2a-2}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a+1 ni \frac{a-1}{a-1} marotabaga ko'paytirish.
\frac{\left(a+1\right)\left(a-1\right)-3}{a-1}-\frac{a-2}{2a-2}
\frac{\left(a+1\right)\left(a-1\right)}{a-1} va \frac{3}{a-1} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{a^{2}-a+a-1-3}{a-1}-\frac{a-2}{2a-2}
\left(a+1\right)\left(a-1\right)-3 ichidagi ko‘paytirishlarni bajaring.
\frac{a^{2}-4}{a-1}-\frac{a-2}{2a-2}
a^{2}-a+a-1-3 kabi iboralarga o‘xshab birlashtiring.
\frac{a^{2}-4}{a-1}-\frac{a-2}{2\left(a-1\right)}
Faktor: 2a-2.
\frac{2\left(a^{2}-4\right)}{2\left(a-1\right)}-\frac{a-2}{2\left(a-1\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a-1 va 2\left(a-1\right) ning eng kichik umumiy karralisi 2\left(a-1\right). \frac{a^{2}-4}{a-1} ni \frac{2}{2} marotabaga ko'paytirish.
\frac{2\left(a^{2}-4\right)-\left(a-2\right)}{2\left(a-1\right)}
\frac{2\left(a^{2}-4\right)}{2\left(a-1\right)} va \frac{a-2}{2\left(a-1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{2a^{2}-8-a+2}{2\left(a-1\right)}
2\left(a^{2}-4\right)-\left(a-2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{2a^{2}-6-a}{2\left(a-1\right)}
2a^{2}-8-a+2 kabi iboralarga o‘xshab birlashtiring.
\frac{2a^{2}-6-a}{2a-2}
2\left(a-1\right) ni kengaytirish.
\frac{\left(a+1\right)\left(a-1\right)}{a-1}-\frac{3}{a-1}-\frac{a-2}{2a-2}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a+1 ni \frac{a-1}{a-1} marotabaga ko'paytirish.
\frac{\left(a+1\right)\left(a-1\right)-3}{a-1}-\frac{a-2}{2a-2}
\frac{\left(a+1\right)\left(a-1\right)}{a-1} va \frac{3}{a-1} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{a^{2}-a+a-1-3}{a-1}-\frac{a-2}{2a-2}
\left(a+1\right)\left(a-1\right)-3 ichidagi ko‘paytirishlarni bajaring.
\frac{a^{2}-4}{a-1}-\frac{a-2}{2a-2}
a^{2}-a+a-1-3 kabi iboralarga o‘xshab birlashtiring.
\frac{a^{2}-4}{a-1}-\frac{a-2}{2\left(a-1\right)}
Faktor: 2a-2.
\frac{2\left(a^{2}-4\right)}{2\left(a-1\right)}-\frac{a-2}{2\left(a-1\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a-1 va 2\left(a-1\right) ning eng kichik umumiy karralisi 2\left(a-1\right). \frac{a^{2}-4}{a-1} ni \frac{2}{2} marotabaga ko'paytirish.
\frac{2\left(a^{2}-4\right)-\left(a-2\right)}{2\left(a-1\right)}
\frac{2\left(a^{2}-4\right)}{2\left(a-1\right)} va \frac{a-2}{2\left(a-1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{2a^{2}-8-a+2}{2\left(a-1\right)}
2\left(a^{2}-4\right)-\left(a-2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{2a^{2}-6-a}{2\left(a-1\right)}
2a^{2}-8-a+2 kabi iboralarga o‘xshab birlashtiring.
\frac{2a^{2}-6-a}{2a-2}
2\left(a-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}