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Popular >

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

Solution

factor

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

Solution

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

Solution steps

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

Factor out common term

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

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

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