- {6x}3chia 18={2x-1}3
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\(\left(2x-3\right)\left(x+1\right)+\left(4x^3-6x^2-6x\right):\left(-2x\right)=18\)
\(\Leftrightarrow2x^2+2x-3x-3-2x^2+3x+3=18\)
\(\Leftrightarrow x=9\)
\(\Leftrightarrow2x^2+2x-3x-3-\dfrac{4x^3-6x^2-6x}{2x}=18\)
\(\Leftrightarrow2x^2-x-3-2x^2+3x+3=18\)
=>2x=18
hay x=9
a: \(\frac{x+1}{2x-6}-\frac{4}{2x-6}\)
\(=\frac{x+1-4}{2\left(x-3\right)}\)
\(=\frac{x-3}{2\left(x-3\right)}=\frac12\)
b: \(\frac{3x-4}{6x+3}-\frac{x-5}{6x+3}\)
\(=\frac{3x-4-x+5}{6x+3}\)
\(=\frac{2x+1}{3\left(2x+1\right)}=\frac13\)
c: \(\frac{x-1}{x-3}-\frac{3x-8}{3-x}+\frac{3-2x}{x-3}\)
\(=\frac{x-1}{x-3}+\frac{3x-8}{x-3}+\frac{3-2x}{x-3}\)
\(=\frac{x-1+3x-8+3-2x}{x-3}=\frac{2x-6}{x-3}=\frac{2\left(x-3\right)}{x-3}\)
=2
d: \(\frac{3}{x+5}-\frac{5}{x-7}\)
\(=\frac{3\left(x-7\right)-5\left(x+5\right)}{\left(x+5\right)\left(x-7\right)}=\frac{3x-21-5x-25}{\left(x+5\right)\left(x-7\right)}\)
\(=\frac{-2x-46}{\left(x+5\right)\left(x-7\right)}\)
e: \(\frac{3}{x+5}-\frac{5}{x-7}\)
\(=\frac{3\left(x-7\right)-5\left(x+5\right)}{\left(x+5\right)\left(x-7\right)}=\frac{3x-21-5x-25}{\left(x+5\right)\left(x-7\right)}\)
\(=\frac{-2x-46}{\left(x+5\right)\left(x-7\right)}\)
f: \(\frac{2}{x-2}+\frac{3}{x+2}+\frac{5x-18}{x^2-4}\)
\(=\frac{2}{x-2}+\frac{3}{x+2}+\frac{5x-18}{\left(x-2\right)\left(x+2\right)}\)
\(=\frac{2\left(x+2\right)+3\left(x-2\right)+5x-18}{\left(x-2\right)\left(x+2\right)}=\frac{2x+4+3x-6+5x-18}{\left(x-2\right)\left(x+2\right)}\)
\(=\frac{10x-20}{\left(x-2\right)\left(x+2\right)}=\frac{10}{x+2}\)
