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Popular >

simplify (x^3-27)/(x^2+3x+9)

Solution

simplify

\frac{x ^{3} - 27}{x ^{2} + 3 x + 9}

Solution

x - 3

Solution steps

\frac{x ^{3} - 27}{x ^{2} + 3 x + 9}

Factor

x^{3} - 27 : (x - 3) (x^{2} + 3 x + 9)

= \frac{( x - 3 ) ( x ^{2} + 3 x + 9 )}{x ^{2} + 3 x + 9}

Cancel the common factor:

x^{2} + 3 x + 9

= x - 3

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Frequently Asked Questions (FAQ)

What is (x^3-27)/(x^2+3x+9) ?
The solution to (x^3-27)/(x^2+3x+9) is x-3