Baholash
\frac{\left(2a-7\right)\left(a+2\right)}{\left(a-2\right)\left(4a+7\right)}
Kengaytirish
\frac{2a^{2}-3a-14}{\left(a-2\right)\left(4a+7\right)}
Viktorina
Polynomial
5xshash muammolar:
\frac { 2 - \frac { 3 } { a - 2 } } { 4 - \frac { 1 } { a + 2 } }
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{2\left(a-2\right)}{a-2}-\frac{3}{a-2}}{4-\frac{1}{a+2}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 ni \frac{a-2}{a-2} marotabaga ko'paytirish.
\frac{\frac{2\left(a-2\right)-3}{a-2}}{4-\frac{1}{a+2}}
\frac{2\left(a-2\right)}{a-2} va \frac{3}{a-2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{2a-4-3}{a-2}}{4-\frac{1}{a+2}}
2\left(a-2\right)-3 ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{2a-7}{a-2}}{4-\frac{1}{a+2}}
2a-4-3 kabi iboralarga o‘xshab birlashtiring.
\frac{\frac{2a-7}{a-2}}{\frac{4\left(a+2\right)}{a+2}-\frac{1}{a+2}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4 ni \frac{a+2}{a+2} marotabaga ko'paytirish.
\frac{\frac{2a-7}{a-2}}{\frac{4\left(a+2\right)-1}{a+2}}
\frac{4\left(a+2\right)}{a+2} va \frac{1}{a+2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{2a-7}{a-2}}{\frac{4a+8-1}{a+2}}
4\left(a+2\right)-1 ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{2a-7}{a-2}}{\frac{4a+7}{a+2}}
4a+8-1 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(2a-7\right)\left(a+2\right)}{\left(a-2\right)\left(4a+7\right)}
\frac{2a-7}{a-2} ni \frac{4a+7}{a+2} ga bo'lish \frac{2a-7}{a-2} ga k'paytirish \frac{4a+7}{a+2} ga qaytarish.
\frac{2a^{2}+4a-7a-14}{\left(a-2\right)\left(4a+7\right)}
2a-7 ifodaning har bir elementini a+2 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{2a^{2}-3a-14}{\left(a-2\right)\left(4a+7\right)}
-3a ni olish uchun 4a va -7a ni birlashtirish.
\frac{2a^{2}-3a-14}{4a^{2}+7a-8a-14}
a-2 ifodaning har bir elementini 4a+7 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{2a^{2}-3a-14}{4a^{2}-a-14}
-a ni olish uchun 7a va -8a ni birlashtirish.
\frac{\frac{2\left(a-2\right)}{a-2}-\frac{3}{a-2}}{4-\frac{1}{a+2}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 ni \frac{a-2}{a-2} marotabaga ko'paytirish.
\frac{\frac{2\left(a-2\right)-3}{a-2}}{4-\frac{1}{a+2}}
\frac{2\left(a-2\right)}{a-2} va \frac{3}{a-2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{2a-4-3}{a-2}}{4-\frac{1}{a+2}}
2\left(a-2\right)-3 ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{2a-7}{a-2}}{4-\frac{1}{a+2}}
2a-4-3 kabi iboralarga o‘xshab birlashtiring.
\frac{\frac{2a-7}{a-2}}{\frac{4\left(a+2\right)}{a+2}-\frac{1}{a+2}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4 ni \frac{a+2}{a+2} marotabaga ko'paytirish.
\frac{\frac{2a-7}{a-2}}{\frac{4\left(a+2\right)-1}{a+2}}
\frac{4\left(a+2\right)}{a+2} va \frac{1}{a+2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{2a-7}{a-2}}{\frac{4a+8-1}{a+2}}
4\left(a+2\right)-1 ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{2a-7}{a-2}}{\frac{4a+7}{a+2}}
4a+8-1 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(2a-7\right)\left(a+2\right)}{\left(a-2\right)\left(4a+7\right)}
\frac{2a-7}{a-2} ni \frac{4a+7}{a+2} ga bo'lish \frac{2a-7}{a-2} ga k'paytirish \frac{4a+7}{a+2} ga qaytarish.
\frac{2a^{2}+4a-7a-14}{\left(a-2\right)\left(4a+7\right)}
2a-7 ifodaning har bir elementini a+2 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{2a^{2}-3a-14}{\left(a-2\right)\left(4a+7\right)}
-3a ni olish uchun 4a va -7a ni birlashtirish.
\frac{2a^{2}-3a-14}{4a^{2}+7a-8a-14}
a-2 ifodaning har bir elementini 4a+7 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{2a^{2}-3a-14}{4a^{2}-a-14}
-a ni olish uchun 7a va -8a ni birlashtirish.
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}