What is ((x^3-512))/((x-8)) ?

The solution to ((x^3-512))/((x-8)) is x^2+8x+64

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simplify ((x^3-512))/((x-8))

simplify

\frac{( x ^{3} - 512 )}{( x - 8 )}

x^{2} + 8 x + 64

Solution steps

\frac{x ^{3} - 512}{x - 8}

Factor

x^{3} - 512 : (x - 8) (x^{2} + 8 x + 64)

= \frac{( x - 8 ) ( x ^{2} + 8 x + 64 )}{x - 8}

Cancel the common factor:

x - 8

= x^{2} + 8 x + 64

\frac{1 - \frac{1}{6}}{2}

- 12 - (- 3)

(\frac{76}{36}) (\frac{13}{6}) (\frac{42}{41}) (\frac{13}{3}) (\frac{18}{7})

\frac{16 a ^{2} b ^{5} c}{8 a ^{2} b ^{3}}

(2 x + 3)^{6}