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

Answer:

a. $2x^{2} +x-3$

Step-by-step explanation:

$\frac{x+2}{3} -\frac{x+1}{2x}\\\\=(\frac{x+2}{3} *\frac{2x}{2x} )-(\frac{x+1}{2x} *\frac{3}{3} )\\\\=\frac{2x^{2}+4x }{6x} -\frac{3x+3}{6x} \\\\=\frac{2x^{2}+4x-3x-3 }{6x} \\\\=\frac{2x^{2} +x-3}{6x}$

Therefor the numerator is:

$2x^{2} +x-3$