Baholash
\frac{82+a-a^{2}}{a-2}
Kengaytirish
\frac{82+a-a^{2}}{a-2}
Baham ko'rish
Klipbordga nusxa olish
\left(\frac{3}{a+1}-\frac{a\left(a+1\right)}{a+1}+1\right)\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
1 ni olish uchun a+1 ni a+1 ga bo‘ling.
\left(\frac{3}{a+1}-a+1\right)\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
Surat va maxrajdagi ikkala a+1 ni qisqartiring.
\left(\frac{3}{a+1}+\frac{\left(-a+1\right)\left(a+1\right)}{a+1}\right)\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -a+1 ni \frac{a+1}{a+1} marotabaga ko'paytirish.
\frac{3+\left(-a+1\right)\left(a+1\right)}{a+1}\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
\frac{3}{a+1} va \frac{\left(-a+1\right)\left(a+1\right)}{a+1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{3-a^{2}-a+a+1}{a+1}\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
3+\left(-a+1\right)\left(a+1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{4-a^{2}}{a+1}\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
3-a^{2}-a+a+1 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(4-a^{2}\right)\left(a+1\right)}{\left(a+1\right)\left(a-2\right)^{2}}+\frac{84}{a-2}-a
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4-a^{2}}{a+1} ni \frac{a+1}{\left(a-2\right)^{2}} ga ko‘paytiring.
\frac{-a^{2}+4}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
Surat va maxrajdagi ikkala a+1 ni qisqartiring.
\frac{-a^{2}+4}{\left(a-2\right)^{2}}+\frac{84\left(a-2\right)}{\left(a-2\right)^{2}}-a
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(a-2\right)^{2} va a-2 ning eng kichik umumiy karralisi \left(a-2\right)^{2}. \frac{84}{a-2} ni \frac{a-2}{a-2} marotabaga ko'paytirish.
\frac{-a^{2}+4+84\left(a-2\right)}{\left(a-2\right)^{2}}-a
\frac{-a^{2}+4}{\left(a-2\right)^{2}} va \frac{84\left(a-2\right)}{\left(a-2\right)^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{-a^{2}+4+84a-168}{\left(a-2\right)^{2}}-a
-a^{2}+4+84\left(a-2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-a^{2}-164+84a}{\left(a-2\right)^{2}}-a
-a^{2}+4+84a-168 kabi iboralarga o‘xshab birlashtiring.
\frac{-a^{2}-164+84a}{\left(a-2\right)^{2}}-\frac{a\left(a-2\right)^{2}}{\left(a-2\right)^{2}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a ni \frac{\left(a-2\right)^{2}}{\left(a-2\right)^{2}} marotabaga ko'paytirish.
\frac{-a^{2}-164+84a-a\left(a-2\right)^{2}}{\left(a-2\right)^{2}}
\frac{-a^{2}-164+84a}{\left(a-2\right)^{2}} va \frac{a\left(a-2\right)^{2}}{\left(a-2\right)^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{-a^{2}-164+84a-a^{3}+4a^{2}-4a}{\left(a-2\right)^{2}}
-a^{2}-164+84a-a\left(a-2\right)^{2} ichidagi ko‘paytirishlarni bajaring.
\frac{3a^{2}-164+80a-a^{3}}{\left(a-2\right)^{2}}
-a^{2}-164+84a-a^{3}+4a^{2}-4a kabi iboralarga o‘xshab birlashtiring.
\frac{\left(a-2\right)\left(-a^{2}+a+82\right)}{\left(a-2\right)^{2}}
\frac{3a^{2}-164+80a-a^{3}}{\left(a-2\right)^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{-a^{2}+a+82}{a-2}
Surat va maxrajdagi ikkala a-2 ni qisqartiring.
\left(\frac{3}{a+1}-\frac{a\left(a+1\right)}{a+1}+1\right)\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
1 ni olish uchun a+1 ni a+1 ga bo‘ling.
\left(\frac{3}{a+1}-a+1\right)\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
Surat va maxrajdagi ikkala a+1 ni qisqartiring.
\left(\frac{3}{a+1}+\frac{\left(-a+1\right)\left(a+1\right)}{a+1}\right)\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -a+1 ni \frac{a+1}{a+1} marotabaga ko'paytirish.
\frac{3+\left(-a+1\right)\left(a+1\right)}{a+1}\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
\frac{3}{a+1} va \frac{\left(-a+1\right)\left(a+1\right)}{a+1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{3-a^{2}-a+a+1}{a+1}\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
3+\left(-a+1\right)\left(a+1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{4-a^{2}}{a+1}\times \frac{a+1}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
3-a^{2}-a+a+1 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(4-a^{2}\right)\left(a+1\right)}{\left(a+1\right)\left(a-2\right)^{2}}+\frac{84}{a-2}-a
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4-a^{2}}{a+1} ni \frac{a+1}{\left(a-2\right)^{2}} ga ko‘paytiring.
\frac{-a^{2}+4}{\left(a-2\right)^{2}}+\frac{84}{a-2}-a
Surat va maxrajdagi ikkala a+1 ni qisqartiring.
\frac{-a^{2}+4}{\left(a-2\right)^{2}}+\frac{84\left(a-2\right)}{\left(a-2\right)^{2}}-a
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(a-2\right)^{2} va a-2 ning eng kichik umumiy karralisi \left(a-2\right)^{2}. \frac{84}{a-2} ni \frac{a-2}{a-2} marotabaga ko'paytirish.
\frac{-a^{2}+4+84\left(a-2\right)}{\left(a-2\right)^{2}}-a
\frac{-a^{2}+4}{\left(a-2\right)^{2}} va \frac{84\left(a-2\right)}{\left(a-2\right)^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{-a^{2}+4+84a-168}{\left(a-2\right)^{2}}-a
-a^{2}+4+84\left(a-2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-a^{2}-164+84a}{\left(a-2\right)^{2}}-a
-a^{2}+4+84a-168 kabi iboralarga o‘xshab birlashtiring.
\frac{-a^{2}-164+84a}{\left(a-2\right)^{2}}-\frac{a\left(a-2\right)^{2}}{\left(a-2\right)^{2}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a ni \frac{\left(a-2\right)^{2}}{\left(a-2\right)^{2}} marotabaga ko'paytirish.
\frac{-a^{2}-164+84a-a\left(a-2\right)^{2}}{\left(a-2\right)^{2}}
\frac{-a^{2}-164+84a}{\left(a-2\right)^{2}} va \frac{a\left(a-2\right)^{2}}{\left(a-2\right)^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{-a^{2}-164+84a-a^{3}+4a^{2}-4a}{\left(a-2\right)^{2}}
-a^{2}-164+84a-a\left(a-2\right)^{2} ichidagi ko‘paytirishlarni bajaring.
\frac{3a^{2}-164+80a-a^{3}}{\left(a-2\right)^{2}}
-a^{2}-164+84a-a^{3}+4a^{2}-4a kabi iboralarga o‘xshab birlashtiring.
\frac{\left(a-2\right)\left(-a^{2}+a+82\right)}{\left(a-2\right)^{2}}
\frac{3a^{2}-164+80a-a^{3}}{\left(a-2\right)^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{-a^{2}+a+82}{a-2}
Surat va maxrajdagi ikkala a-2 ni qisqartiring.
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}