Question

Give the equivalent numerator if the denominator is (x - 2)(x - 1)(x - 6).
2/x-2

Answer 1

\[\frac{2}{x-2}\]


\[\frac{2(x-1)(x-6)}{(x-2)(x-1)(x-6)}\]


\[\frac{2(x^2-7x+6)}{(x-2)(x-1)(x-6)}\]


\[\frac{2x^2-14x+12}{(x-2)(x-1)(x-6)}\]



So \[\frac{2}{x-2}=\frac{2x^2-14x+12}{(x-2)(x-1)(x-6)}\]