Baholash
\frac{1}{A}
Kengaytirish
\frac{1}{A}
Baham ko'rish
Klipbordga nusxa olish
\frac{A-1}{2A}\left(\frac{A+3}{A+1}-\frac{A^{2}-5}{\left(A-1\right)\left(A+1\right)}\right)
Faktor: A^{2}-1.
\frac{A-1}{2A}\left(\frac{\left(A+3\right)\left(A-1\right)}{\left(A-1\right)\left(A+1\right)}-\frac{A^{2}-5}{\left(A-1\right)\left(A+1\right)}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. A+1 va \left(A-1\right)\left(A+1\right) ning eng kichik umumiy karralisi \left(A-1\right)\left(A+1\right). \frac{A+3}{A+1} ni \frac{A-1}{A-1} marotabaga ko'paytirish.
\frac{A-1}{2A}\times \frac{\left(A+3\right)\left(A-1\right)-\left(A^{2}-5\right)}{\left(A-1\right)\left(A+1\right)}
\frac{\left(A+3\right)\left(A-1\right)}{\left(A-1\right)\left(A+1\right)} va \frac{A^{2}-5}{\left(A-1\right)\left(A+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{A-1}{2A}\times \frac{A^{2}-A+3A-3-A^{2}+5}{\left(A-1\right)\left(A+1\right)}
\left(A+3\right)\left(A-1\right)-\left(A^{2}-5\right) ichidagi ko‘paytirishlarni bajaring.
\frac{A-1}{2A}\times \frac{2A+2}{\left(A-1\right)\left(A+1\right)}
A^{2}-A+3A-3-A^{2}+5 kabi iboralarga o‘xshab birlashtiring.
\frac{A-1}{2A}\times \frac{2\left(A+1\right)}{\left(A-1\right)\left(A+1\right)}
\frac{2A+2}{\left(A-1\right)\left(A+1\right)} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{A-1}{2A}\times \frac{2}{A-1}
Surat va maxrajdagi ikkala A+1 ni qisqartiring.
\frac{\left(A-1\right)\times 2}{2A\left(A-1\right)}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{A-1}{2A} ni \frac{2}{A-1} ga ko‘paytiring.
\frac{1}{A}
Surat va maxrajdagi ikkala 2\left(A-1\right) ni qisqartiring.
\frac{A-1}{2A}\left(\frac{A+3}{A+1}-\frac{A^{2}-5}{\left(A-1\right)\left(A+1\right)}\right)
Faktor: A^{2}-1.
\frac{A-1}{2A}\left(\frac{\left(A+3\right)\left(A-1\right)}{\left(A-1\right)\left(A+1\right)}-\frac{A^{2}-5}{\left(A-1\right)\left(A+1\right)}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. A+1 va \left(A-1\right)\left(A+1\right) ning eng kichik umumiy karralisi \left(A-1\right)\left(A+1\right). \frac{A+3}{A+1} ni \frac{A-1}{A-1} marotabaga ko'paytirish.
\frac{A-1}{2A}\times \frac{\left(A+3\right)\left(A-1\right)-\left(A^{2}-5\right)}{\left(A-1\right)\left(A+1\right)}
\frac{\left(A+3\right)\left(A-1\right)}{\left(A-1\right)\left(A+1\right)} va \frac{A^{2}-5}{\left(A-1\right)\left(A+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{A-1}{2A}\times \frac{A^{2}-A+3A-3-A^{2}+5}{\left(A-1\right)\left(A+1\right)}
\left(A+3\right)\left(A-1\right)-\left(A^{2}-5\right) ichidagi ko‘paytirishlarni bajaring.
\frac{A-1}{2A}\times \frac{2A+2}{\left(A-1\right)\left(A+1\right)}
A^{2}-A+3A-3-A^{2}+5 kabi iboralarga o‘xshab birlashtiring.
\frac{A-1}{2A}\times \frac{2\left(A+1\right)}{\left(A-1\right)\left(A+1\right)}
\frac{2A+2}{\left(A-1\right)\left(A+1\right)} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{A-1}{2A}\times \frac{2}{A-1}
Surat va maxrajdagi ikkala A+1 ni qisqartiring.
\frac{\left(A-1\right)\times 2}{2A\left(A-1\right)}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{A-1}{2A} ni \frac{2}{A-1} ga ko‘paytiring.
\frac{1}{A}
Surat va maxrajdagi ikkala 2\left(A-1\right) ni qisqartiring.
Misollar
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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
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Differensatsiya
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Oʻngga
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Chegaralar
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