Baholash
\frac{2\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)}
Kengaytirish
\frac{2\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)}+\frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+5 va x+3 ning eng kichik umumiy karralisi \left(x+3\right)\left(x+5\right). \frac{2}{x+5} ni \frac{x+3}{x+3} marotabaga ko'paytirish. \frac{4}{x+3} ni \frac{x+5}{x+5} marotabaga ko'paytirish.
\frac{\frac{2\left(x+3\right)+4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)} va \frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{2x+6+4x+20}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
2\left(x+3\right)+4\left(x+5\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{6x+26}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
2x+6+4x+20 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(6x+26\right)\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}
\frac{6x+26}{\left(x+3\right)\left(x+5\right)} ni \frac{3x+13}{x^{2}+3x+15} ga bo'lish \frac{6x+26}{\left(x+3\right)\left(x+5\right)} ga k'paytirish \frac{3x+13}{x^{2}+3x+15} ga qaytarish.
\frac{2\left(3x+13\right)\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{2\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)}
Surat va maxrajdagi ikkala 3x+13 ni qisqartiring.
\frac{2x^{2}+6x+30}{x^{2}+8x+15}
Ifodani kengaytiring.
\frac{\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)}+\frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+5 va x+3 ning eng kichik umumiy karralisi \left(x+3\right)\left(x+5\right). \frac{2}{x+5} ni \frac{x+3}{x+3} marotabaga ko'paytirish. \frac{4}{x+3} ni \frac{x+5}{x+5} marotabaga ko'paytirish.
\frac{\frac{2\left(x+3\right)+4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)} va \frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{2x+6+4x+20}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
2\left(x+3\right)+4\left(x+5\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{6x+26}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+3x+15}}
2x+6+4x+20 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(6x+26\right)\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}
\frac{6x+26}{\left(x+3\right)\left(x+5\right)} ni \frac{3x+13}{x^{2}+3x+15} ga bo'lish \frac{6x+26}{\left(x+3\right)\left(x+5\right)} ga k'paytirish \frac{3x+13}{x^{2}+3x+15} ga qaytarish.
\frac{2\left(3x+13\right)\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{2\left(x^{2}+3x+15\right)}{\left(x+3\right)\left(x+5\right)}
Surat va maxrajdagi ikkala 3x+13 ni qisqartiring.
\frac{2x^{2}+6x+30}{x^{2}+8x+15}
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}