What is factor 3m^5n^2-6m^4n+m^3 ?

The solution to factor 3m^5n^2-6m^4n+m^3 is m^3(3m^2n^2-6mn+1)

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factor 3m^5n^2-6m^4n+m^3

factor

3 m^{5} n^{2} - 6 m^{4} n + m^{3}

m^{3} (3 m^{2} n^{2} - 6 mn + 1)

Solution steps

3 m^{5} n^{2} - 6 m^{4} n + m^{3}

Apply exponent rule:

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

m^{5} n^{2} = m^{3} m^{2}, m^{4} n = m^{3} m

= 3 m^{3} m^{2} - 6 m^{3} m + m^{3}

Factor out common term

m^{3}

= m^{3} (3 m^{2} n^{2} - 6 mn + 1)

\frac{1}{3 - 2}

x = 2^{2}

- 12

x^{3} - 64 x

(e^{x})^{2}

What is factor 3m^5n^2-6m^4n+m^3 ?
The solution to factor 3m^5n^2-6m^4n+m^3 is m^3(3m^2n^2-6mn+1)