Simplify into one fraction (6/x+7)-(3/x-2)
Remove the parentheses: ( a) = a
\(\frac{6}{x+7} - \frac{3}{x-2}\)
Find the least common denominator:
\((x+7)(x-2)\)
Adjust fractions based on the LCD :
\(\frac{6(x-2)}{(x+7)(x-2)} - \frac{3(x+7)}{(x+7)(x-2)}\)
\(= \frac{6(x-2)-3(x+7)}{(x+7)(x-2)}\)
Expand :
\(6(x-2)-3(x+7)\)
\(6 x - 12 - 3 x - 21\)
\(6x - 3 x - 12 - 21\)
\(3x - 33\)
\(\frac{3x-33}{(x+7)(x-2)}\)
hope this helps!