Baholash
\frac{2\left(x+5\right)}{x+15}
Kengaytirish
\frac{2\left(x+5\right)}{x+15}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{\left(x-10\right)\left(x-5\right)}{\left(x-5\right)\left(x+15\right)}+\frac{\left(x-10\right)\left(x+15\right)}{\left(x-5\right)\left(x+15\right)}}{1-\frac{5}{x-5}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+15 va x-5 ning eng kichik umumiy karralisi \left(x-5\right)\left(x+15\right). \frac{x-10}{x+15} ni \frac{x-5}{x-5} marotabaga ko'paytirish. \frac{x-10}{x-5} ni \frac{x+15}{x+15} marotabaga ko'paytirish.
\frac{\frac{\left(x-10\right)\left(x-5\right)+\left(x-10\right)\left(x+15\right)}{\left(x-5\right)\left(x+15\right)}}{1-\frac{5}{x-5}}
\frac{\left(x-10\right)\left(x-5\right)}{\left(x-5\right)\left(x+15\right)} va \frac{\left(x-10\right)\left(x+15\right)}{\left(x-5\right)\left(x+15\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{x^{2}-5x-10x+50+x^{2}+15x-10x-150}{\left(x-5\right)\left(x+15\right)}}{1-\frac{5}{x-5}}
\left(x-10\right)\left(x-5\right)+\left(x-10\right)\left(x+15\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)}}{1-\frac{5}{x-5}}
x^{2}-5x-10x+50+x^{2}+15x-10x-150 kabi iboralarga o‘xshab birlashtiring.
\frac{\frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)}}{\frac{x-5}{x-5}-\frac{5}{x-5}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-5}{x-5} marotabaga ko'paytirish.
\frac{\frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)}}{\frac{x-5-5}{x-5}}
\frac{x-5}{x-5} va \frac{5}{x-5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)}}{\frac{x-10}{x-5}}
x-5-5 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(2x^{2}-10x-100\right)\left(x-5\right)}{\left(x-5\right)\left(x+15\right)\left(x-10\right)}
\frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)} ni \frac{x-10}{x-5} ga bo'lish \frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)} ga k'paytirish \frac{x-10}{x-5} ga qaytarish.
\frac{2x^{2}-10x-100}{\left(x-10\right)\left(x+15\right)}
Surat va maxrajdagi ikkala x-5 ni qisqartiring.
\frac{2\left(x-10\right)\left(x+5\right)}{\left(x-10\right)\left(x+15\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{2\left(x+5\right)}{x+15}
Surat va maxrajdagi ikkala x-10 ni qisqartiring.
\frac{2x+10}{x+15}
Ifodani kengaytiring.
\frac{\frac{\left(x-10\right)\left(x-5\right)}{\left(x-5\right)\left(x+15\right)}+\frac{\left(x-10\right)\left(x+15\right)}{\left(x-5\right)\left(x+15\right)}}{1-\frac{5}{x-5}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+15 va x-5 ning eng kichik umumiy karralisi \left(x-5\right)\left(x+15\right). \frac{x-10}{x+15} ni \frac{x-5}{x-5} marotabaga ko'paytirish. \frac{x-10}{x-5} ni \frac{x+15}{x+15} marotabaga ko'paytirish.
\frac{\frac{\left(x-10\right)\left(x-5\right)+\left(x-10\right)\left(x+15\right)}{\left(x-5\right)\left(x+15\right)}}{1-\frac{5}{x-5}}
\frac{\left(x-10\right)\left(x-5\right)}{\left(x-5\right)\left(x+15\right)} va \frac{\left(x-10\right)\left(x+15\right)}{\left(x-5\right)\left(x+15\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{x^{2}-5x-10x+50+x^{2}+15x-10x-150}{\left(x-5\right)\left(x+15\right)}}{1-\frac{5}{x-5}}
\left(x-10\right)\left(x-5\right)+\left(x-10\right)\left(x+15\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)}}{1-\frac{5}{x-5}}
x^{2}-5x-10x+50+x^{2}+15x-10x-150 kabi iboralarga o‘xshab birlashtiring.
\frac{\frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)}}{\frac{x-5}{x-5}-\frac{5}{x-5}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-5}{x-5} marotabaga ko'paytirish.
\frac{\frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)}}{\frac{x-5-5}{x-5}}
\frac{x-5}{x-5} va \frac{5}{x-5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)}}{\frac{x-10}{x-5}}
x-5-5 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(2x^{2}-10x-100\right)\left(x-5\right)}{\left(x-5\right)\left(x+15\right)\left(x-10\right)}
\frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)} ni \frac{x-10}{x-5} ga bo'lish \frac{2x^{2}-10x-100}{\left(x-5\right)\left(x+15\right)} ga k'paytirish \frac{x-10}{x-5} ga qaytarish.
\frac{2x^{2}-10x-100}{\left(x-10\right)\left(x+15\right)}
Surat va maxrajdagi ikkala x-5 ni qisqartiring.
\frac{2\left(x-10\right)\left(x+5\right)}{\left(x-10\right)\left(x+15\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{2\left(x+5\right)}{x+15}
Surat va maxrajdagi ikkala x-10 ni qisqartiring.
\frac{2x+10}{x+15}
Ifodani kengaytiring.
Misollar
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}