Toán Lớp 8: Rút gọn
(x+3)/(x-2) + (x+2)/(3-x) + (x+2)/(x^2 – 5x+6)
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Toán Lớp 8: Rút gọn
(x+3)/(x-2) + (x+2)/(3-x) + (x+2)/(x^2 – 5x+6)
Comments ( 2 )
\dfrac{{x + 3}}{{x – 2}} + \dfrac{{x + 2}}{{3 – x}} + \dfrac{{x + 2}}{{{x^2} – 5x + 6}}\\
= \dfrac{{\left( {x + 3} \right)\left( {x – 3} \right)}}{{\left( {x – 2} \right)\left( {x – 3} \right)}} + \dfrac{{\left( {x + 2} \right)\left( {x – 2} \right)}}{{\left( {x – 2} \right)\left( {x – 3} \right)}} + \dfrac{{x + 2}}{{\left( {x – 2} \right)\left( {x – 3} \right)}}\\
= \dfrac{{{x^2} – 9 – {x^2} + 4 + x + 2}}{{\left( {x – 2} \right)\left( {x – 3} \right)}}\\
= \dfrac{{x – 3}}{{\left( {x – 2} \right)\left( {x – 3} \right)}}\\
= \dfrac{1}{{x – 2}}
\end{array}\]