Question

After x + 2 over 2 minus X+1 over 3x have been combined using the least common denominator of 6x, what is the numerator? ​

Answer 1

Answer:

3x²+4x-2

Step-by-step explanation:

$\frac{x+2}{2}$-$\frac{x+1}{3x}$ are not like terms. To make them like terms, you have to multiply the first fraction by 3x, and the second by 2.

This makes it $\frac{3x(x+2)}{6x}$-$\frac{2(x+1)}{6x}$, which can be expanded to $\frac{3x^{2}+6x}{6x}$-$\frac{2x+2}{6x}$.

This can be simplified to $\frac{3x^{2} +4x-2}{6x}$.

The numerator is therefore 3x²+4x-2.