Baholash
\frac{5\left(m+n\right)\left(3m-3n+1\right)}{m-n}
Kengaytirish
-\frac{5\left(-3m^{2}-m+3n^{2}-n\right)}{m-n}
Baham ko'rish
Klipbordga nusxa olish
\frac{m+n}{2}\left(\frac{30\left(m-n\right)}{m-n}+\frac{10}{m-n}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 30 ni \frac{m-n}{m-n} marotabaga ko'paytirish.
\frac{m+n}{2}\times \frac{30\left(m-n\right)+10}{m-n}
\frac{30\left(m-n\right)}{m-n} va \frac{10}{m-n} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{m+n}{2}\times \frac{30m-30n+10}{m-n}
30\left(m-n\right)+10 ichidagi ko‘paytirishlarni bajaring.
\frac{\left(m+n\right)\left(30m-30n+10\right)}{2\left(m-n\right)}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{m+n}{2} ni \frac{30m-30n+10}{m-n} ga ko‘paytiring.
\frac{10\left(m+n\right)\left(3m-3n+1\right)}{2\left(m-n\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{5\left(m+n\right)\left(3m-3n+1\right)}{m-n}
Surat va maxrajdagi ikkala 2 ni qisqartiring.
\frac{15m^{2}+5m-15n^{2}+5n}{m-n}
Ifodani kengaytiring.
\frac{m+n}{2}\left(\frac{30\left(m-n\right)}{m-n}+\frac{10}{m-n}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 30 ni \frac{m-n}{m-n} marotabaga ko'paytirish.
\frac{m+n}{2}\times \frac{30\left(m-n\right)+10}{m-n}
\frac{30\left(m-n\right)}{m-n} va \frac{10}{m-n} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{m+n}{2}\times \frac{30m-30n+10}{m-n}
30\left(m-n\right)+10 ichidagi ko‘paytirishlarni bajaring.
\frac{\left(m+n\right)\left(30m-30n+10\right)}{2\left(m-n\right)}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{m+n}{2} ni \frac{30m-30n+10}{m-n} ga ko‘paytiring.
\frac{10\left(m+n\right)\left(3m-3n+1\right)}{2\left(m-n\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{5\left(m+n\right)\left(3m-3n+1\right)}{m-n}
Surat va maxrajdagi ikkala 2 ni qisqartiring.
\frac{15m^{2}+5m-15n^{2}+5n}{m-n}
Ifodani kengaytiring.
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}