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Multiplication of Rational Expressions

Solve: x 3 -...

Question

Solve:
$x^{3} - {6 x}^{2} + 8 x = 0$

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Solution

$x^{3} - 6 x^{2} + 8 x = 0 x (x^{2} - 6 x + 8) = 0 x = 0, x^{2} - 6 x + 8 = 0 x^{2} - 4 x - 2 x + 8 = 0 x (x - 4) - 2 (x - 4) = 0 (x - 4) (x - 2) = 0 x = 4, 2 x = 0, 2, 4$

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