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a: Khi x=5 thì A=5/(5+3)=5/8
b: \(C=A+B=\dfrac{x}{x+3}+\dfrac{2}{x-3}+\dfrac{3-5x}{x^2-9}\)
\(=\dfrac{x^2-3x+2x+6+3-5x}{\left(x-3\right)\left(x+3\right)}=\dfrac{x^2-6x+9}{\left(x-3\right)\left(x+3\right)}=\dfrac{x-3}{x+3}\)
c: Để C nguyên thì x+3-6 chia hết cho x+3
=>\(x+3\in\left\{1;-1;2;-2;3;-3;6;-6\right\}\)
=>\(x\in\left\{-2;-4;-1;-5;0;-6;-9\right\}\)
ĐKXĐ: \(x\ne1;x\ne-\dfrac{3}{2}\)
Ta có: \(\dfrac{3x^3-7x^2+5x-1}{2x^3-x^2-4x+3}=\dfrac{\left(x-1\right)^2\left(3x-1\right)}{\left(x-1\right)^2\left(2x+3\right)}=\dfrac{3x-1}{2x+3}\)
a: \(=\dfrac{x}{5\left(x+1\right)}-\dfrac{x}{10\left(x-1\right)}\)
\(=\dfrac{2x^2-2x-x^2-x}{10\left(x+1\right)\left(x-1\right)}=\dfrac{x^2-3x}{10\left(x^2-1\right)}\)
a: =12x^3y^2-12x^3y^3+6x^2y^2
b: =\(\left(-3x+2\right)\left(5x^2-\dfrac{1}{3}x+4\right)\)
=-15x^3+x^2-12x+10x^2-2/3x+8
=-15x^3+11x^2-38/3x+8
c: =x^2-x-2+3x-x^2
=2x-2
a. \(x^2-5x\ne0\)
=> ĐKXĐ: \(x\left(x-5\right)\ne0\) => \(\left\{{}\begin{matrix}x\ne0\\x\ne5\end{matrix}\right.\)
b. \(\dfrac{x^2-10x+25}{x^2-5x}\)
= \(\dfrac{\left(x-5\right)^2}{x\left(x-5\right)}\)
= \(\dfrac{x-5}{x}\)
x khac +-3
A=\(\hept{\begin{cases}\\\end{cases}\frac{xI\left(x-3\right)I}{5x^2-45}=\frac{xI\left(x-3\right)I}{5\left(x^2-3^2\right)}}\)
\(\frac{xIx-3I\overline{ }}{5\left(x-3\right)\left(x+3\right)^{ }_{ }}\)
x>3 A=\(\frac{x}{5\left(x+3\right)}\)
x<3 A=-\(\frac{x}{5\left(x+3\right)}\)