Baholash
\frac{4x}{3}
Kengaytirish
\frac{4x}{3}
Grafik
Viktorina
Polynomial
5xshash muammolar:
( 5 x - \frac { 10 x } { x + 1 } ) : \frac { 15 x - 15 } { 4 x + 4 }
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{5x\left(x+1\right)}{x+1}-\frac{10x}{x+1}}{\frac{15x-15}{4x+4}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5x ni \frac{x+1}{x+1} marotabaga ko'paytirish.
\frac{\frac{5x\left(x+1\right)-10x}{x+1}}{\frac{15x-15}{4x+4}}
\frac{5x\left(x+1\right)}{x+1} va \frac{10x}{x+1} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{5x^{2}+5x-10x}{x+1}}{\frac{15x-15}{4x+4}}
5x\left(x+1\right)-10x ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{5x^{2}-5x}{x+1}}{\frac{15x-15}{4x+4}}
5x^{2}+5x-10x kabi iboralarga o‘xshab birlashtiring.
\frac{\left(5x^{2}-5x\right)\left(4x+4\right)}{\left(x+1\right)\left(15x-15\right)}
\frac{5x^{2}-5x}{x+1} ni \frac{15x-15}{4x+4} ga bo'lish \frac{5x^{2}-5x}{x+1} ga k'paytirish \frac{15x-15}{4x+4} ga qaytarish.
\frac{4\times 5x\left(x-1\right)\left(x+1\right)}{15\left(x-1\right)\left(x+1\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{4x}{3}
Surat va maxrajdagi ikkala 5\left(x-1\right)\left(x+1\right) ni qisqartiring.
\frac{\frac{5x\left(x+1\right)}{x+1}-\frac{10x}{x+1}}{\frac{15x-15}{4x+4}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5x ni \frac{x+1}{x+1} marotabaga ko'paytirish.
\frac{\frac{5x\left(x+1\right)-10x}{x+1}}{\frac{15x-15}{4x+4}}
\frac{5x\left(x+1\right)}{x+1} va \frac{10x}{x+1} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{5x^{2}+5x-10x}{x+1}}{\frac{15x-15}{4x+4}}
5x\left(x+1\right)-10x ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{5x^{2}-5x}{x+1}}{\frac{15x-15}{4x+4}}
5x^{2}+5x-10x kabi iboralarga o‘xshab birlashtiring.
\frac{\left(5x^{2}-5x\right)\left(4x+4\right)}{\left(x+1\right)\left(15x-15\right)}
\frac{5x^{2}-5x}{x+1} ni \frac{15x-15}{4x+4} ga bo'lish \frac{5x^{2}-5x}{x+1} ga k'paytirish \frac{15x-15}{4x+4} ga qaytarish.
\frac{4\times 5x\left(x-1\right)\left(x+1\right)}{15\left(x-1\right)\left(x+1\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{4x}{3}
Surat va maxrajdagi ikkala 5\left(x-1\right)\left(x+1\right) 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}