- \frac { 4 a + b } { 2 } + \frac { 2 a + 3 b } { 4 } - 3 ( \frac { a - b } { 2 } - \frac { 3 a - b } { 3 }
Baholash
\frac{3b}{4}
Kengaytirish
\frac{3b}{4}
Baham ko'rish
Klipbordga nusxa olish
-\frac{2\left(4a+b\right)}{4}+\frac{2a+3b}{4}-3\left(\frac{a-b}{2}-\frac{3a-b}{3}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 4 ning eng kichik umumiy karralisi 4. -\frac{4a+b}{2} ni \frac{2}{2} marotabaga ko'paytirish.
\frac{-2\left(4a+b\right)+2a+3b}{4}-3\left(\frac{a-b}{2}-\frac{3a-b}{3}\right)
-\frac{2\left(4a+b\right)}{4} va \frac{2a+3b}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{-8a-2b+2a+3b}{4}-3\left(\frac{a-b}{2}-\frac{3a-b}{3}\right)
-2\left(4a+b\right)+2a+3b ichidagi ko‘paytirishlarni bajaring.
\frac{-6a+b}{4}-3\left(\frac{a-b}{2}-\frac{3a-b}{3}\right)
-8a-2b+2a+3b kabi iboralarga o‘xshab birlashtiring.
\frac{-6a+b}{4}-3\left(\frac{3\left(a-b\right)}{6}-\frac{2\left(3a-b\right)}{6}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 3 ning eng kichik umumiy karralisi 6. \frac{a-b}{2} ni \frac{3}{3} marotabaga ko'paytirish. \frac{3a-b}{3} ni \frac{2}{2} marotabaga ko'paytirish.
\frac{-6a+b}{4}-3\times \frac{3\left(a-b\right)-2\left(3a-b\right)}{6}
\frac{3\left(a-b\right)}{6} va \frac{2\left(3a-b\right)}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{-6a+b}{4}-3\times \frac{3a-3b-6a+2b}{6}
3\left(a-b\right)-2\left(3a-b\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-6a+b}{4}-3\times \frac{-3a-b}{6}
3a-3b-6a+2b kabi iboralarga o‘xshab birlashtiring.
\frac{-6a+b}{4}-\frac{-3a-b}{2}
3 va 6 ichida eng katta umumiy 6 faktorini bekor qiling.
\frac{-6a+b}{4}-\frac{2\left(-3a-b\right)}{4}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4 va 2 ning eng kichik umumiy karralisi 4. \frac{-3a-b}{2} ni \frac{2}{2} marotabaga ko'paytirish.
\frac{-6a+b-2\left(-3a-b\right)}{4}
\frac{-6a+b}{4} va \frac{2\left(-3a-b\right)}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{-6a+b+6a+2b}{4}
-6a+b-2\left(-3a-b\right) ichidagi ko‘paytirishlarni bajaring.
\frac{3b}{4}
-6a+b+6a+2b kabi iboralarga o‘xshab birlashtiring.
-\frac{2\left(4a+b\right)}{4}+\frac{2a+3b}{4}-3\left(\frac{a-b}{2}-\frac{3a-b}{3}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 4 ning eng kichik umumiy karralisi 4. -\frac{4a+b}{2} ni \frac{2}{2} marotabaga ko'paytirish.
\frac{-2\left(4a+b\right)+2a+3b}{4}-3\left(\frac{a-b}{2}-\frac{3a-b}{3}\right)
-\frac{2\left(4a+b\right)}{4} va \frac{2a+3b}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{-8a-2b+2a+3b}{4}-3\left(\frac{a-b}{2}-\frac{3a-b}{3}\right)
-2\left(4a+b\right)+2a+3b ichidagi ko‘paytirishlarni bajaring.
\frac{-6a+b}{4}-3\left(\frac{a-b}{2}-\frac{3a-b}{3}\right)
-8a-2b+2a+3b kabi iboralarga o‘xshab birlashtiring.
\frac{-6a+b}{4}-3\left(\frac{3\left(a-b\right)}{6}-\frac{2\left(3a-b\right)}{6}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 3 ning eng kichik umumiy karralisi 6. \frac{a-b}{2} ni \frac{3}{3} marotabaga ko'paytirish. \frac{3a-b}{3} ni \frac{2}{2} marotabaga ko'paytirish.
\frac{-6a+b}{4}-3\times \frac{3\left(a-b\right)-2\left(3a-b\right)}{6}
\frac{3\left(a-b\right)}{6} va \frac{2\left(3a-b\right)}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{-6a+b}{4}-3\times \frac{3a-3b-6a+2b}{6}
3\left(a-b\right)-2\left(3a-b\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-6a+b}{4}-3\times \frac{-3a-b}{6}
3a-3b-6a+2b kabi iboralarga o‘xshab birlashtiring.
\frac{-6a+b}{4}-\frac{-3a-b}{2}
3 va 6 ichida eng katta umumiy 6 faktorini bekor qiling.
\frac{-6a+b}{4}-\frac{2\left(-3a-b\right)}{4}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4 va 2 ning eng kichik umumiy karralisi 4. \frac{-3a-b}{2} ni \frac{2}{2} marotabaga ko'paytirish.
\frac{-6a+b-2\left(-3a-b\right)}{4}
\frac{-6a+b}{4} va \frac{2\left(-3a-b\right)}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{-6a+b+6a+2b}{4}
-6a+b-2\left(-3a-b\right) ichidagi ko‘paytirishlarni bajaring.
\frac{3b}{4}
-6a+b+6a+2b 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}