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If no denominator equals zero, which expression is equivalent to 156 +67OÀOB.OC.O D.22+1322²-3622-48²-36222 36ܚ ܐܟ22z+48²-36

If no denominator equals zero, which expression is equivalent to 156 +67OÀOB.OC.O-example-1
User Npr
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Solution

- The solution steps are given below:


\begin{gathered} (1)/(2x^2-4x)-(2)/(x) \\ \\ \text{ We need to find the common denominator for both terms} \\ 2x^2-4x=2x(x-2)\text{ \lparen Denominator 1\rparen} \\ x\text{ \lparen Denominator 2\rparen} \\ \\ \text{ Both denominators have }2x(x-2)\text{ in common, thus, we can say:} \\ \\ (1-2(2(x-2)))/(2x(x-2)) \\ \\ \text{ Simplify:} \\ (1-4x+8)/(2x(x-2)) \\ \\ =(9-4x)/(2x(x-2))=(-4x+9)/(2x(x-2))\text{ \lparen OPTION C\rparen} \end{gathered}

User Gary Sharpe
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