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Popular >

factor x^3-18x^2+81x

Solution

factor

x^{3} - 18 x^{2} + 81 x

Solution

x (x - 9)^{2}

Solution steps

x^{3} - 18 x^{2} + 81 x

Factor out common term

x : x (x^{2} - 18 x + 81)

= x (x^{2} - 18 x + 81)

Factor

x^{2} - 18 x + 81 : (x - 9) (x - 9)

= x (x - 9) (x - 9)

Apply exponent rule:

aa = a^{2}

(x - 9) (x - 9) = (x - 9)^{2}

= x (x - 9)^{2}

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Frequently Asked Questions (FAQ)

What is factor x^3-18x^2+81x ?
The solution to factor x^3-18x^2+81x is x(x-9)^2