Question P.6.5: Subtracting Rational Expressions with the Same Denominator S...

            Subtract numerators and include parentheses to indicate that both terms are subtracted. Place this difference over the common denominator.

= \frac{5x + 1 – 4x + 2}{x² – 9}
Remove parentheses and then change the  sign of each term in parentheses.

=\frac{x + 3}{x² – 9}
Combine like terms.

=\frac{\overset{1}{\cancel{x+3}}}{\underset{1}{\cancel{x+3}}(x-3)}
Factor and simplify (x ≠ -3 and x ≠ 3).

=\frac{1}{x-3},  x ≠ -3, x ≠ 3