`@`\(O=\dfrac{3x+2}{x+3}+\dfrac{5x-1}{x+2}+\dfrac{x^2-3}{x^2+5x+6}\)
\(O=\dfrac{3x+2}{x+3}+\dfrac{5x-1}{x+2}+\dfrac{x^2-3}{\left(x+2\right)\left(x+3\right)}\)
\(ĐK:x\ne-2;-3\)
\(O=\dfrac{\left(3x+2\right)\left(x+2\right)+\left(5x-1\right)\left(x+3\right)+x^2-3}{\left(x+2\right)\left(x+3\right)}\)
\(O=\dfrac{3x^2+8x+4+5x^2+14x-3+x^2-3}{\left(x+2\right)\left(x+3\right)}\)
\(O=\dfrac{9x^2+22x-2}{\left(x+2\right)\left(x+3\right)}\)
`@`\(H=\dfrac{3x-1}{x-2}+\dfrac{4x-5}{x+2}\)
\(ĐK;x\ne\pm2\)
\(H=\dfrac{\left(3x-1\right)\left(x+2\right)+\left(4x-5\right)\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}\)
\(H=\dfrac{3x^2+5x-2+4x^2-13x+10}{\left(x-2\right)\left(x+2\right)}\)
\(H=\dfrac{7x^2-8x^2+8}{x-4}\)
`@`\(K=\dfrac{9x-1}{x+4}+\dfrac{5x-1}{x-3}\)
\(ĐK:x\ne-4;3\)
\(K=\dfrac{\left(9x-1\right)\left(x-3\right)+\left(5x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x-3\right)}\)
\(K=\dfrac{9x^2-28x+3+5x^2-19x-4}{\left(x+4\right)\left(x-3\right)}\)
\(K=\dfrac{14x^2-47x-1}{\left(x+4\right)\left(x-3\right)}\)
