What is ((8x^3-1))/((2x-1)) ?

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

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simplify ((8x^3-1))/((2x-1))

simplify

\frac{( 8 x ^{3} - 1 )}{( 2 x - 1 )}

4 x^{2} + 2 x + 1

Solution steps

\frac{8 x ^{3} - 1}{2 x - 1}

Factor

8 x^{3} - 1 : (2 x - 1) (4 x^{2} + 2 x + 1)

= \frac{( 2 x - 1 ) ( 4 x ^{2} + 2 x + 1 )}{2 x - 1}

Cancel the common factor:

2 x - 1

= 4 x^{2} + 2 x + 1

\frac{( 4 + h - 2 )}{h}

\frac{6 ^{- 5}}{1 0 ^{- 3}}

4384

\frac{8}{5} - \frac{6}{4}

- 46 + 24