What is 7x+5-1/(x+6) ?

The solution to 7x+5-1/(x+6) is (7x^2+47x+29)/(x+6)

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simplify 7x+5-1/(x+6)

simplify

7 x + 5 - \frac{1}{x + 6}

\frac{7 x ^{2} + 47 x + 29}{x + 6}

Solution steps

7 x + 5 - \frac{1}{x + 6}

Convert

7 x

to fraction

: \frac{7 x ( x + 6 )}{x + 6}

Convert

5

to fraction

: \frac{5 ( x + 6 )}{x + 6}

= \frac{7 x ( x + 6 )}{x + 6} + \frac{5 ( x + 6 )}{x + 6} - \frac{1}{x + 6}

Apply the fraction rule:

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

= \frac{7 x ( x + 6 ) + 5 ( x + 6 ) - 1}{x + 6}

Simplify

7 x (x + 6) + 5 (x + 6) - 1 : 7 x^{2} + 47 x + 29

= \frac{7 x ^{2} + 47 x + 29}{x + 6}

\frac{- 1 - 3}{2}

3 \div 1 \frac{1}{2}

m^{2} - 2 m - 3

(\frac{4}{5} x + 10)^{2}

3 jk - 4 j + 5 jk - 3 j