simplify 3-2/(x+9)

Solution

simplify

3 - \frac{2}{x + 9}

\frac{3 x + 25}{x + 9}

Solution steps

3 - \frac{2}{x + 9}

Apply the fraction rule:

a - \frac{b}{c} = \frac{a c - b}{c}

= \frac{3 ( x + 9 ) - 2}{x + 9}

Simplify

3 (x + 9) - 2 : 3 x + 25

= \frac{3 x + 25}{x + 9}

\frac{x + 7}{x + 5} - \frac{7 x}{x ^{2} - 3 x - 40}

(x - 3) (2 x + 1)

\frac{2 x ^{3} + 5 x ^{2} + 9}{x + 3}

- \frac{4}{7} + \frac{2}{7} x - 14 x + \frac{4}{7}

(2 x^{3} - 3 x^{2} + 5 x - 1) + (x^{2} + 1 - 3 x)