What is 4x^2-27x+167-(996)/(x+6) ?

The solution to 4x^2-27x+167-(996)/(x+6) is (4x^3-3x^2+5x+6)/(x+6)

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simplify 4x^2-27x+167-(996)/(x+6)

simplify

4 x^{2} - 27 x + 167 - \frac{996}{x + 6}

\frac{4 x ^{3} - 3 x ^{2} + 5 x + 6}{x + 6}

Solution steps

4 x^{2} - 27 x + 167 - \frac{996}{x + 6}

Convert

4 x^{2}

to fraction

: \frac{4 x ^{2} ( x + 6 )}{x + 6}

Convert

27 x

to fraction

: \frac{27 x ( x + 6 )}{x + 6}

Convert

167

to fraction

: \frac{167 ( x + 6 )}{x + 6}

= \frac{4 x ^{2} ( x + 6 )}{x + 6} - \frac{27 x ( x + 6 )}{x + 6} + \frac{167 ( x + 6 )}{x + 6} - \frac{996}{x + 6}

Apply the fraction rule:

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

= \frac{4 x ^{2} ( x + 6 ) - 27 x ( x + 6 ) + 167 ( x + 6 ) - 996}{x + 6}

Simplify

4 x^{2} (x + 6) - 27 x (x + 6) + 167 (x + 6) - 996 : 4 x^{3} - 3 x^{2} + 5 x + 6

= \frac{4 x ^{3} - 3 x ^{2} + 5 x + 6}{x + 6}

(3 x^{- 2} y^{3})^{- 4}

\frac{12}{5} - \frac{3}{4} + 2

\frac{1}{1 + 3 i} + \frac{1}{1 + 8 i}

(3 m - 2)^{2}

- (x - 3)

What is 4x^2-27x+167-(996)/(x+6) ?
The solution to 4x^2-27x+167-(996)/(x+6) is (4x^3-3x^2+5x+6)/(x+6)