Toán Lớp 8: X+1/2x-2 – 2x/x^2-1. (/ là phần). Rút gọn biểu thức
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Toán Lớp 8: X+1/2x-2 – 2x/x^2-1. (/ là phần). Rút gọn biểu thức
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Mong cho lời giải hay nhất ❤️⭐️
$\dfrac{x+1}{2x-2}-\dfrac{2x}{x^2-1}$
$=\dfrac{\left(x+1\right)^2}{2\left(x-1\right)\left(x+1\right)}-\dfrac{4x}{2\left(x-1\right)\left(x+1\right)}$
$=\dfrac{\left(x+1\right)^2-4x}{2\left(x-1\right)\left(x+1\right)}$
$=\dfrac{x^2-2x+1}{2\left(x-1\right)\left(x+1\right)}$
$=\dfrac{x-1}{2\left(x+1\right)}$
$=\dfrac{x-1}{2x+2}$