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

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

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factor (x^3-8)/(x^2-4)

factor

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 2

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

sin (x) (π)

27 - x^{45}

(cos (4 x))^{2}

a x - b y - a y + b x

4 x^{2} - (3 x y)

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