What is (3x+2)/(x+6)-x ?

The solution to (3x+2)/(x+6)-x is (-x^2-3x+2)/(x+6)

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simplify (3x+2)/(x+6)-x

simplify

\frac{3 x + 2}{x + 6} - x

\frac{- x ^{2} - 3 x + 2}{x + 6}

Solution steps

\frac{3 x + 2}{x + 6} - x

Apply the fraction rule:

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

= \frac{- x ( x + 6 ) + 3 x + 2}{x + 6}

Simplify

- x (x + 6) + 3 x + 2 : - x^{2} - 3 x + 2

= \frac{- x ^{2} - 3 x + 2}{x + 6}

(1 - 2 x)^{5}

60 \div 15

2 lo g_{2} (32) + lo g_{4} (256) + 3 lo g_{3} (81)

(4 - 3 i) (- 3 + 6 i) - (2 - i)

(a + 7) (a - 7)