Question

Give the equivalent numerator if the denominator is (a - 6)(a - 1)(a + 6).

6a² - 42a + 36
6a - 6
6a + 36

Answer 1

\[\frac{ 6 }{ a^2-7a+6 }\]

Answer 2

@Owlcoffee

Answer 3

well, here it is a little trickier, we have to factorize the denominator first.

Answer 4

Okay..lol

Answer 5

So, in order to factorize, you'll have to make the denominator equal zero and use the quadratic formula to find the root, but I won't do that, I'll leave it to you as a Homework.
So, facotrized it looks like this:
\[\frac{ 6 }{ (a-6)(a-1) }\]
And once again, multiply by the expression we require:
\[\frac{ 6(a+6) }{ (a-6)(a-1)(a+6) }\]
And, distributive above:
\[\frac{ 6a+36 }{ (a-6)(a-1)(a+6) }\]
The answer is the numerator of this last fraction.