Step-by-step Solution

Simplify the expression $\frac{x^3+27}{x+3}$

Go!
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Final Answer

$x^2-3x+9$

Step-by-step explanation

Problem to solve:

$\frac{x^3+27}{x+3}$
1

Factor the sum of cubes: $a^3+b^3 = (a+b)(a^2-ab+b^2)$

$\frac{\left(x+3\right)\left(x^2-3x+9\right)}{x+3}$
2

Simplify the fraction by $x+3$

$x^2-3x+9$

Final Answer

$x^2-3x+9$

Problem Analysis

$\frac{x^3+27}{x+3}$

Time to solve it:

~ 0.03 seconds