E(x)=[x^4+2x^3+x^2/(x+1)^2-9]:(3x-9)-x/3 eching

$$E ( x ) = [ \frac { x ^ { 4 } + 2 x ^ { 3 } + x ^ { 2 } } { ( x + 1 ) ^ { 2 } } - 9 ] : ( 3 x - 9 ) - \frac { x } { 3 }$$

Baholash

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Qisqa yechim qadamlari

\frac{x^{4}+2x^{3}+x^{2}}{\left(x+1\right)^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\frac{x^{2}\left(x+1\right)^{2}}{\left(x+1\right)^{2}}-9}{3x-9}-\frac{x}{3}$$

Surat va maxrajdagi ikkala \left(x+1\right)^{2} ni qisqartiring.

$$\frac{x^{2}-9}{3x-9}-\frac{x}{3}$$

\frac{x^{2}-9}{3x-9} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(x-3\right)\left(x+3\right)}{3\left(x-3\right)}-\frac{x}{3}$$

Surat va maxrajdagi ikkala x-3 ni qisqartiring.

$$\frac{x+3}{3}-\frac{x}{3}$$

\frac{x+3}{3} va \frac{x}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{x+3-x}{3}$$

x+3-x kabi iboralarga o‘xshab birlashtiring.

$$\frac{3}{3}$$

1 ni olish uchun 3 ni 3 ga bo‘ling.

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Omil

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