Question

What is the simplified form of 2x + 4 over x - 2 minus x-3 over x-2

Answer 1

\[\frac{2x + 4}{x-2}-\frac{x-3}{x-2}\]
since the denominator is same, they can be combined
\[\frac{(2x + 4)-(x-3)}{x-2}\]

Answer 2

then just do the numerator math
\[\frac{(2x + 4)-(x-3)}{x-2}\]
\[\frac{2x + 4-x+3}{x-2}\]
\[\frac{x+7}{x-2}\]