What is (x^2-64)/(x^4-8x^3) ?

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

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simplify (x^2-64)/(x^4-8x^3)

simplify

\frac{x ^{2} - 64}{x ^{4} - 8 x ^{3}}

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

Solution steps

\frac{x ^{2} - 64}{x ^{4} - 8 x ^{3}}

Factor

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

= \frac{( x + 8 ) ( x - 8 )}{x ^{4} - 8 x ^{3}}

Factor

x^{4} - 8 x^{3} : x^{3} (x - 8)

= \frac{( x + 8 ) ( x - 8 )}{x ^{3} ( x - 8 )}

Cancel the common factor:

x - 8

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

- 4 12 x^{16} y^{3}

\frac{( ( x + y ) ^{12} )}{( ( x + y ) ^{4} )}

\frac{( 3 y ^{5} ) ^{3}}{2 y ^{6}}

6 \cdot \frac{3}{2}

(x + 6) (3 x + 4)

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