Question

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

2x² - 10x + 12
2x² - 14x + 12
2x² - 14x - 10

Answer 1

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

Answer 2

@Owlcoffee

Answer 3

\[\frac{ 2 }{( x-2) }\]
Analogically as the last problems, we multiply both numerator and denominator by the expression we require as equal denominator:
\[\frac{ 2(x-1)(x-6) }{ (x-2)(x-1)(x-6) }\]
All you have to do is apply the distributive property on the numerator of this last fraction.

Answer 4

How?

Answer 5

\[2(x-1)(x-6)\]
\[(2x-2)(x-6)\]
\[2x^2-12x+2x+12\]
\[2x^2 -10x + 12\]
And that's the numerator we were looking for.