What is x+3+(3x)/(x+5) ?

The solution to x+3+(3x)/(x+5) is (x^2+11x+15)/(x+5)

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simplify x+3+(3x)/(x+5)

simplify

x + 3 + \frac{3 x}{x + 5}

\frac{x ^{2} + 11 x + 15}{x + 5}

Solution steps

x + 3 + \frac{3 x}{x + 5}

Convert

x

to fraction

: \frac{x ( x + 5 )}{x + 5}

Convert

3

to fraction

: \frac{3 ( x + 5 )}{x + 5}

= \frac{x ( x + 5 )}{x + 5} + \frac{3 ( x + 5 )}{x + 5} + \frac{3 x}{x + 5}

Apply the fraction rule:

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

= \frac{x ( x + 5 ) + 3 ( x + 5 ) + 3 x}{x + 5}

Simplify

x (x + 5) + 3 (x + 5) + 3 x : x^{2} + 11 x + 15

= \frac{x ^{2} + 11 x + 15}{x + 5}

- 9 + - 28

(\frac{1}{e})^{2} - 2 ln (\frac{1}{e})

- 6 a + 7 (- 2 a - 4)

27 a

\frac{7}{m - 6} - \frac{1}{m}