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Find the least common denominator for thesetwo rational expressions.x3-3x2 – 2x + 1 x2 + 6x - 7-Enter the correct answer.000DONEClear all02 ?

Find the least common denominator for thesetwo rational expressionsx33x2 2x 1 x2 6x 7Enter the correct answer000DONEClear all02 class=

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Solution

Given

[tex]\begin{gathered} \frac{x^3}{x^2-2x+1}=\frac{x^3}{(x-1)^2} \\ \\ \frac{-3}{x^2+6x-7}=-\frac{3}{(x-1)(x+7)} \\ \end{gathered}[/tex]

Hence the LCM is

[tex](x-1)^2(x+7)[/tex]

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