(x+5/x(x-1)-6x/x(x-1))div1/x^2 eching

$$( \frac{ x+5 }{ x(x-1) } - \frac{ 6x }{ x(x-1) } ) \div \frac{ 1 }{ { x }^{ 2 } }$$

Baholash

$$-5x$$

Qisqa yechim qadamlari

\frac{x+5}{x\left(x-1\right)} va \frac{6x}{x\left(x-1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{x+5-6x}{x\left(x-1\right)}}{\frac{1}{x^{2}}}$$

x+5-6x kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{-5x+5}{x\left(x-1\right)}}{\frac{1}{x^{2}}}$$

\frac{-5x+5}{x\left(x-1\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\frac{5\left(-x+1\right)}{x\left(x-1\right)}}{\frac{1}{x^{2}}}$$

1-x mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{\frac{-5\left(x-1\right)}{x\left(x-1\right)}}{\frac{1}{x^{2}}}$$

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{\frac{-5}{x}}{\frac{1}{x^{2}}}$$

\frac{-5}{x} ni \frac{1}{x^{2}} ga bo'lish \frac{-5}{x} ga k'paytirish \frac{1}{x^{2}} ga qaytarish.

$$\frac{-5x^{2}}{x}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$-5x$$

Kengaytirish

$$-5x$$

Qisqa yechim qadamlari

\frac{x+5}{x\left(x-1\right)} va \frac{6x}{x\left(x-1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{x+5-6x}{x\left(x-1\right)}}{\frac{1}{x^{2}}}$$

x+5-6x kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{-5x+5}{x\left(x-1\right)}}{\frac{1}{x^{2}}}$$

\frac{-5x+5}{x\left(x-1\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\frac{5\left(-x+1\right)}{x\left(x-1\right)}}{\frac{1}{x^{2}}}$$

1-x mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{\frac{-5\left(x-1\right)}{x\left(x-1\right)}}{\frac{1}{x^{2}}}$$

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{\frac{-5}{x}}{\frac{1}{x^{2}}}$$

\frac{-5}{x} ni \frac{1}{x^{2}} ga bo'lish \frac{-5}{x} ga k'paytirish \frac{1}{x^{2}} ga qaytarish.

$$\frac{-5x^{2}}{x}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$-5x$$