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Popular >

factor x^4-6x^3+9x^2

Solution

factor

x^{4} - 6 x^{3} + 9 x^{2}

Solution

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

Solution steps

x^{4} - 6 x^{3} + 9 x^{2}

Factor out common term

x^{2} : x^{2} (x^{2} - 6 x + 9)

= x^{2} (x^{2} - 6 x + 9)

Factor

x^{2} - 6 x + 9 : (x - 3) (x - 3)

= x^{2} (x - 3) (x - 3)

Apply exponent rule:

aa = a^{2}

(x - 3) (x - 3) = (x - 3)^{2}

= x^{2} (x - 3)^{2}

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Frequently Asked Questions (FAQ)

What is factor x^4-6x^3+9x^2 ?
The solution to factor x^4-6x^3+9x^2 is x^2(x-3)^2