Baholash
\frac{7x^{2}+2x+10}{\left(x-2\right)\left(x+5\right)}
Kengaytirish
\frac{7x^{2}+2x+10}{\left(x-2\right)\left(x+5\right)}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{\left(2x+2\right)\left(x+5\right)}{\left(x-2\right)\left(x+5\right)}+\frac{5x\left(x-2\right)}{\left(x-2\right)\left(x+5\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-2 va x+5 ning eng kichik umumiy karralisi \left(x-2\right)\left(x+5\right). \frac{2x+2}{x-2} ni \frac{x+5}{x+5} marotabaga ko'paytirish. \frac{5x}{x+5} ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{\left(2x+2\right)\left(x+5\right)+5x\left(x-2\right)}{\left(x-2\right)\left(x+5\right)}
\frac{\left(2x+2\right)\left(x+5\right)}{\left(x-2\right)\left(x+5\right)} va \frac{5x\left(x-2\right)}{\left(x-2\right)\left(x+5\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{2x^{2}+10x+2x+10+5x^{2}-10x}{\left(x-2\right)\left(x+5\right)}
\left(2x+2\right)\left(x+5\right)+5x\left(x-2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{7x^{2}+2x+10}{\left(x-2\right)\left(x+5\right)}
2x^{2}+10x+2x+10+5x^{2}-10x kabi iboralarga o‘xshab birlashtiring.
\frac{7x^{2}+2x+10}{x^{2}+3x-10}
\left(x-2\right)\left(x+5\right) ni kengaytirish.
\frac{\left(2x+2\right)\left(x+5\right)}{\left(x-2\right)\left(x+5\right)}+\frac{5x\left(x-2\right)}{\left(x-2\right)\left(x+5\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-2 va x+5 ning eng kichik umumiy karralisi \left(x-2\right)\left(x+5\right). \frac{2x+2}{x-2} ni \frac{x+5}{x+5} marotabaga ko'paytirish. \frac{5x}{x+5} ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{\left(2x+2\right)\left(x+5\right)+5x\left(x-2\right)}{\left(x-2\right)\left(x+5\right)}
\frac{\left(2x+2\right)\left(x+5\right)}{\left(x-2\right)\left(x+5\right)} va \frac{5x\left(x-2\right)}{\left(x-2\right)\left(x+5\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{2x^{2}+10x+2x+10+5x^{2}-10x}{\left(x-2\right)\left(x+5\right)}
\left(2x+2\right)\left(x+5\right)+5x\left(x-2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{7x^{2}+2x+10}{\left(x-2\right)\left(x+5\right)}
2x^{2}+10x+2x+10+5x^{2}-10x kabi iboralarga o‘xshab birlashtiring.
\frac{7x^{2}+2x+10}{x^{2}+3x-10}
\left(x-2\right)\left(x+5\right) ni kengaytirish.
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}