What is 8x^3-1/8-3x+3/x ?

The solution to 8x^3-1/8-3x+3/x is (64x^4-x+24-24x^2)/(8x)

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simplify 8x^3-1/8-3x+3/x

simplify

8 x^{3} - \frac{1}{8} - 3 x + \frac{3}{x}

\frac{64 x ^{4} - x + 24 - 24 x ^{2}}{8 x}

Solution steps

8 x^{3} - \frac{1}{8} - 3 x + \frac{3}{x}

Join

- \frac{1}{8} + \frac{3}{x} : \frac{- x + 24}{8 x}

= 8 x^{3} + \frac{- x + 24}{8 x} - 3 x

Convert

8 x^{3}

to fraction

: \frac{64 x ^{4}}{8 x}

Convert

3 x

to fraction

: \frac{24 x ^{2}}{8 x}

= \frac{64 x ^{4}}{8 x} + \frac{- x + 24}{8 x} - \frac{24 x ^{2}}{8 x}

Apply the fraction rule:

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

= \frac{64 x ^{4} - x + 24 - 24 x ^{2}}{8 x}

x^{2} + \frac{1}{2} x + 3 x y

\frac{3}{5} y + \frac{( - 6 )}{5} y

- sin^{2} (q) + cos^{2} (q)

3 x^{13} - 192 x^{7} y^{6}

\frac{4 x ^{2} - 1 + 1}{x ^{2}}

What is 8x^3-1/8-3x+3/x ?
The solution to 8x^3-1/8-3x+3/x is (64x^4-x+24-24x^2)/(8x)