Baholash
\frac{8x+25}{14\left(x+3\right)\left(x+4\right)}
Kengaytirish
\frac{8x+25}{14\left(x+3\right)\left(x+4\right)}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)}-\frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{14}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+3 va x+4 ning eng kichik umumiy karralisi \left(x+3\right)\left(x+4\right). \frac{x+4}{x+3} ni \frac{x+4}{x+4} marotabaga ko'paytirish. \frac{x-3}{x+4} ni \frac{x+3}{x+3} marotabaga ko'paytirish.
\frac{\frac{\left(x+4\right)\left(x+4\right)-\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{14}
\frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)} va \frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{x^{2}+4x+4x+16-x^{2}-3x+3x+9}{\left(x+3\right)\left(x+4\right)}}{14}
\left(x+4\right)\left(x+4\right)-\left(x-3\right)\left(x+3\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{8x+25}{\left(x+3\right)\left(x+4\right)}}{14}
x^{2}+4x+4x+16-x^{2}-3x+3x+9 kabi iboralarga o‘xshab birlashtiring.
\frac{8x+25}{\left(x+3\right)\left(x+4\right)\times 14}
\frac{\frac{8x+25}{\left(x+3\right)\left(x+4\right)}}{14} ni yagona kasrga aylantiring.
\frac{8x+25}{\left(x^{2}+4x+3x+12\right)\times 14}
x+3 ifodaning har bir elementini x+4 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{8x+25}{\left(x^{2}+7x+12\right)\times 14}
7x ni olish uchun 4x va 3x ni birlashtirish.
\frac{8x+25}{14x^{2}+98x+168}
x^{2}+7x+12 ga 14 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{\frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)}-\frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{14}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+3 va x+4 ning eng kichik umumiy karralisi \left(x+3\right)\left(x+4\right). \frac{x+4}{x+3} ni \frac{x+4}{x+4} marotabaga ko'paytirish. \frac{x-3}{x+4} ni \frac{x+3}{x+3} marotabaga ko'paytirish.
\frac{\frac{\left(x+4\right)\left(x+4\right)-\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{14}
\frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)} va \frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{x^{2}+4x+4x+16-x^{2}-3x+3x+9}{\left(x+3\right)\left(x+4\right)}}{14}
\left(x+4\right)\left(x+4\right)-\left(x-3\right)\left(x+3\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{8x+25}{\left(x+3\right)\left(x+4\right)}}{14}
x^{2}+4x+4x+16-x^{2}-3x+3x+9 kabi iboralarga o‘xshab birlashtiring.
\frac{8x+25}{\left(x+3\right)\left(x+4\right)\times 14}
\frac{\frac{8x+25}{\left(x+3\right)\left(x+4\right)}}{14} ni yagona kasrga aylantiring.
\frac{8x+25}{\left(x^{2}+4x+3x+12\right)\times 14}
x+3 ifodaning har bir elementini x+4 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{8x+25}{\left(x^{2}+7x+12\right)\times 14}
7x ni olish uchun 4x va 3x ni birlashtirish.
\frac{8x+25}{14x^{2}+98x+168}
x^{2}+7x+12 ga 14 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
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}