What is (x^3-8)/(x^2-5x+6) ?

The solution to (x^3-8)/(x^2-5x+6) is (x^2+2x+4)/(x-3)

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simplify (x^3-8)/(x^2-5x+6)

simplify

\frac{x ^{3} - 8}{x ^{2} - 5 x + 6}

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

Solution steps

\frac{x ^{3} - 8}{x ^{2} - 5 x + 6}

Factor

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

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

Factor

x^{2} - 5 x + 6 : (x - 2) (x - 3)

= \frac{( x - 2 ) ( x ^{2} + 2 x + 4 )}{( x - 2 ) ( x - 3 )}

Cancel the common factor:

x - 2

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

\frac{x ^{2} + 2 x - 35}{x ^{2} - 25}

- 5 i + i^{2}

3 6^{- 2}

27 \times 8

5 \div \frac{1}{7}

What is (x^3-8)/(x^2-5x+6) ?
The solution to (x^3-8)/(x^2-5x+6) is (x^2+2x+4)/(x-3)