Baholash
\frac{4}{y}
Kengaytirish
\frac{4}{y}
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{x+4y}{x\left(x-4y\right)}-\frac{x-4y}{x\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Faktor: x^{2}-4xy. Faktor: x^{2}+4xy.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)}-\frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x\left(x-4y\right) va x\left(x+4y\right) ning eng kichik umumiy karralisi x\left(x-4y\right)\left(x+4y\right). \frac{x+4y}{x\left(x-4y\right)} ni \frac{x+4y}{x+4y} marotabaga ko'paytirish. \frac{x-4y}{x\left(x+4y\right)} ni \frac{x-4y}{x-4y} marotabaga ko'paytirish.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
\frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)} va \frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
\left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{16xy}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2} kabi iboralarga o‘xshab birlashtiring.
\frac{\frac{16y}{\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Surat va maxrajdagi ikkala x ni qisqartiring.
\frac{16y\left(x^{2}-16y^{2}\right)}{\left(x-4y\right)\left(x+4y\right)\times 4y^{2}}
\frac{16y}{\left(x-4y\right)\left(x+4y\right)} ni \frac{4y^{2}}{x^{2}-16y^{2}} ga bo'lish \frac{16y}{\left(x-4y\right)\left(x+4y\right)} ga k'paytirish \frac{4y^{2}}{x^{2}-16y^{2}} ga qaytarish.
\frac{4\left(x^{2}-16y^{2}\right)}{y\left(x-4y\right)\left(x+4y\right)}
Surat va maxrajdagi ikkala 4y ni qisqartiring.
\frac{4\left(x-4y\right)\left(x+4y\right)}{y\left(x-4y\right)\left(x+4y\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{4}{y}
Surat va maxrajdagi ikkala \left(x-4y\right)\left(x+4y\right) ni qisqartiring.
\frac{\frac{x+4y}{x\left(x-4y\right)}-\frac{x-4y}{x\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Faktor: x^{2}-4xy. Faktor: x^{2}+4xy.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)}-\frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x\left(x-4y\right) va x\left(x+4y\right) ning eng kichik umumiy karralisi x\left(x-4y\right)\left(x+4y\right). \frac{x+4y}{x\left(x-4y\right)} ni \frac{x+4y}{x+4y} marotabaga ko'paytirish. \frac{x-4y}{x\left(x+4y\right)} ni \frac{x-4y}{x-4y} marotabaga ko'paytirish.
\frac{\frac{\left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
\frac{\left(x+4y\right)\left(x+4y\right)}{x\left(x-4y\right)\left(x+4y\right)} va \frac{\left(x-4y\right)\left(x-4y\right)}{x\left(x-4y\right)\left(x+4y\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\frac{x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2}}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
\left(x+4y\right)\left(x+4y\right)-\left(x-4y\right)\left(x-4y\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{16xy}{x\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
x^{2}+4xy+4xy+16y^{2}-x^{2}+4xy+4xy-16y^{2} kabi iboralarga o‘xshab birlashtiring.
\frac{\frac{16y}{\left(x-4y\right)\left(x+4y\right)}}{\frac{4y^{2}}{x^{2}-16y^{2}}}
Surat va maxrajdagi ikkala x ni qisqartiring.
\frac{16y\left(x^{2}-16y^{2}\right)}{\left(x-4y\right)\left(x+4y\right)\times 4y^{2}}
\frac{16y}{\left(x-4y\right)\left(x+4y\right)} ni \frac{4y^{2}}{x^{2}-16y^{2}} ga bo'lish \frac{16y}{\left(x-4y\right)\left(x+4y\right)} ga k'paytirish \frac{4y^{2}}{x^{2}-16y^{2}} ga qaytarish.
\frac{4\left(x^{2}-16y^{2}\right)}{y\left(x-4y\right)\left(x+4y\right)}
Surat va maxrajdagi ikkala 4y ni qisqartiring.
\frac{4\left(x-4y\right)\left(x+4y\right)}{y\left(x-4y\right)\left(x+4y\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{4}{y}
Surat va maxrajdagi ikkala \left(x-4y\right)\left(x+4y\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}