Question

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

SOS

 2x2 + x − 3

 
2x2 + x − 1  
−2x2 + x + 6  
−x2 + 2x + 6

Answer 1

I'm pretty sure the answer is 2x2 + x -3

Answer 2

a.
`2x^(2) +x-3`

Explanation:

`(x+2)/(3) -(x+1)/(2x)\\\\=((x+2)/(3) *(2x)/(2x) )-((x+1)/(2x) *(3)/(3) )\\\\=(2x^(2)+4x )/(6x) -(3x+3)/(6x) \\\\=(2x^(2)+4x-3x-3 )/(6x) \\\\=(2x^(2) +x-3)/(6x)`

Therefor the numerator is:

`2x^(2) +x-3`