Answer:
3x²+4x-2
Step-by-step explanation:
[tex]\frac{x+2}{2}[/tex]-[tex]\frac{x+1}{3x}[/tex] 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 [tex]\frac{3x(x+2)}{6x}[/tex]-[tex]\frac{2(x+1)}{6x}[/tex], which can be expanded to [tex]\frac{3x^{2}+6x}{6x}[/tex]-[tex]\frac{2x+2}{6x}[/tex].
This can be simplified to [tex]\frac{3x^{2} +4x-2}{6x}[/tex].
The numerator is therefore 3x²+4x-2.
