Question

Afterthe fraction x plus 1 all over 2 minus the fraction x plus 2 all over 3 x have been combined using the least common denominator of 6x, what is the numerator?

Answer 1

Explanation:

(x + 1) (x + 2)

-------- - --------

2 3x

multiply the first one by 3x and the second one by 2

(3x(x + 1) - 2(x + 2)) / 6x =

(3x^2 + 3x - 2x - 4) / 6x =

(3x^2 + x - 4) / 6x

so the numerator is : 3x^2 + x - 4