giup mk vs mn oi sap nop r B1 a) `{x^3+2x}/{x^3+1}` + `{2x}/{x^2-x+1}` b) `({3x}/{1-3x} + {2x}/{3x+1})` : `{6x^2+10x}/{1-6x+9x^2}` B2 A = `{x^2-10x+

By Adalyn

giup mk vs mn oi sap nop r
B1
a) `{x^3+2x}/{x^3+1}` + `{2x}/{x^2-x+1}`
b) `({3x}/{1-3x} + {2x}/{3x+1})` : `{6x^2+10x}/{1-6x+9x^2}`
B2 A = `{x^2-10x+25}/{x^2-2x}`
a) Tìm đkxđ
b) Tìm x để A = 2
c) Tìm x nguyên để A nguyên
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  1. Bài 1: 

    a,

    $\frac{x^3+2x}{x^3+1}+\frac{2x}{x^2-x+1}$

    $=\frac{x^3+2x+2x(x+1)}{(x+1)(x^2-x+1)}$

    $=\frac{3x^3+4x}{(x+1)(x^2-x+1)}$

    b,

    $(\frac{-3x}{3x-1}+\frac{2x}{3x+1}):\frac{6x^2+10x}{1-6x+9x^2}$

    $=\frac{-3x(3x+1)+2x(3x-1)}{(3x+1)(3x-1)} : \frac{2x(3x+5)}{(1-3x)^2}$

    $= \frac{-3x^2-5x}{(3x+1)(3x-1)}.\frac{(3x-1)^2}{2x(3x+5)}$

    $= \frac{-x(3x+5)}{(3x+1)(3x-1)}.\frac{(3x-1)^2}{2x(3x+5)}$

    $=\frac{-(3x-1)}{2(3x+1)}$

    Bài 2:

    a,

    ĐK: $x\neq 0; x\neq 2$

    b,

    $A=\frac{(x-5)^2}{x(x-2)}$

    $A=2\Rightarrow (x-5)^2= 2x(x-2)$

    $\Leftrightarrow x^2-10x+25=2x^2-4x$

    $\Leftrightarrow x^2+6x-25=0$

    $\Leftrightarrow x=-3\pm \sqrt{34}$ 

    Trả lời

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