add:Express in simplest form
4x/(x^2 -18x +72) + 4/(x-6)
factor the first denominator. Get a common denominator. Combine terms.
I will be happy to critique your work.
ok hers goes
4x/(x-6)(x-12) + 4/(x-6)= 4x + 4/(x-6)(x -12) or am I completely lost?
you factored correctly.
You have no idea what you are doing on getting the fractions combined.
Take 20 minutes going through this. It is important to learn this skill, or you will not be successuful in any further algebra.
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4x + 4/x -12 is this correct or am I still off.
You are on the right track with factoring the first denominator as (x-6)(x-12), but the way you combined the terms is incorrect.
To add fractions, you need to have a common denominator. In this case, the common denominator is (x-6)(x-12).
So, the expression 4x/(x^2 - 18x + 72) + 4/(x-6) can be rewritten as (4x(x-12) + 4(x-12))/((x-6)(x-12)).
Now, you can simplify the numerator by combining like terms.
4x(x-12) + 4(x-12) = (4x^2 - 48x) + (4x - 48) = 4x^2 - 44x - 48.
Putting it all together, the expression in simplest form is:
(4x^2 - 44x - 48)/((x-6)(x-12)).