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\(\left(\dfrac{3x}{1-3x}+\dfrac{2x}{3x+1}\right):\dfrac{6x^2+10x}{1-6x+9x^2}\)\(\left(ĐKXĐ:x\ne\pm\dfrac{1}{3}\right)\)
\(=\left[\dfrac{-3x\left(3x+1\right)+2x\left(3x-1\right)}{\left(3x-1\right)\left(3x+1\right)}\right]:\dfrac{2x\left(3x+5\right)}{\left(3x-1\right)^2}\)
\(=\dfrac{-9x^2-3x+6x^2-2x}{\left(3x-1\right)\left(3x+1\right)}.\dfrac{\left(3x-1\right)^2}{2x\left(3x+5\right)}\)
\(=\dfrac{-3x^2-5x}{\left(3x-1\right)\left(3x+1\right)}.\dfrac{\left(3x-1\right)^2}{2x\left(3x+5\right)}\)
\(=\dfrac{-x\left(3x+5\right).\left(3x-1\right)^2}{\left(3x-1\right)\left(3x+1\right).2x\left(3x+5\right)}\)
\(=\dfrac{1-3x}{2\left(3x+1\right)}\)
\(=\dfrac{1-3x}{6x+2}\)
a: \(\left(3x^2-6x\right):3x=x-2\)
b: \(\dfrac{\left(3x-1\right)^2}{3x-1}=3x-1\)
a: \(=\left(x^2+4\right)\left(x^2-4\right)-\left(x^4-9\right)\)
\(=x^4-16-x^4+9=-7\)
b: \(=27x^3-8-27x^3+6=-2\)
c: \(=\left(3x+5+2-3x\right)^2=7^2=49\)
\(\frac{12x^4-6x^3-9x^2}{-3x^2}-\left(2-3x\right)\left(2+3x\right)=-\left(3x+1\right)\)\(Dk:-3x^2\ne0\)\(< =>x\ne0\)
<=> \(-4x^2+2x+3-\left(2-3x\right).\left(2+3x\right)=-\left(3x+1\right)\)
<=> \(-4x^2+2x+3-4-6x+6x+9x^2=-3x-1\)
<=>\(5x^2+5x=0\)
<=> \(\orbr{\begin{cases}x=-1\left(n\right)\\x=0\left(l\right)\end{cases}}\)
\(3\cdot\left(2\cdot1\right)=6x-3x\\ 6=3x\\ x=\dfrac{6}{3}=2\)