Simplify and identify the x-values for which the expression is undefined.

\[ \frac{4x - 8}{x^2 - 2x} \]

x 2 − 2 x 4 x − 8 ​ = x ( x − 2 ) 4 ( x − 2 ) ​ = x 4 ​ x 2 − 2 x  = 0 ⇒ x ( x − 2 )  = 0 ⇒ x  = 0 ∧ x  = 2

Answered by Anonymous | 2024-06-10

The expression x 2 − 2 x 4 x − 8 ​ simplifies to x 4 ​ . The expression is undefined at x = 0 and x = 2 .
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Answered by Anonymous | 2024-09-30