What is (x^3-16x)/(x^2-8x+16) ?

The solution to (x^3-16x)/(x^2-8x+16) is (x(x+4))/(x-4)

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simplify (x^3-16x)/(x^2-8x+16)

simplify

\frac{x ^{3} - 16 x}{x ^{2} - 8 x + 16}

\frac{x ( x + 4 )}{x - 4}

Solution steps

\frac{x ^{3} - 16 x}{x ^{2} - 8 x + 16}

Factor

x^{3} - 16 x : x (x + 4) (x - 4)

= \frac{x ( x + 4 ) ( x - 4 )}{x ^{2} - 8 x + 16}

Factor

x^{2} - 8 x + 16 : (x - 4)^{2}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x - 4)^{2} = (x - 4) (x - 4)

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

Cancel the common factor:

x - 4

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

(a - 2)^{4}

(x^{2} - 2 x + 6) - (2 x + 11)

(8 a - 9 b)^{2}

lo g_{2} (20) - lo g_{2} (10)

What is (x^3-16x)/(x^2-8x+16) ?
The solution to (x^3-16x)/(x^2-8x+16) is (x(x+4))/(x-4)