What is factor 60m^4-120m^3n+50m^2n^2 ?

The solution to factor 60m^4-120m^3n+50m^2n^2 is 10m^2(6m^2-12mn+5n^2)

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factor 60m^4-120m^3n+50m^2n^2

factor

60 m^{4} - 120 m^{3} n + 50 m^{2} n^{2}

10 m^{2} (6 m^{2} - 12 mn + 5 n^{2})

Solution steps

60 m^{4} - 120 m^{3} n + 50 m^{2} n^{2}

Apply exponent rule:

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

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

= 60 m^{2} m^{2} - 120 m^{2} m + 50 m^{2} n^{2}

Rewrite

50

5 \cdot 10

Rewrite

- 120

12 \cdot 10

= 6 \cdot 10 m^{2} m^{2} + 12 \cdot 10 m^{2} m + 5 \cdot 10 m^{2} n^{2}

Factor out common term

10 m^{2}

= 10 m^{2} (6 m^{2} - 12 mn + 5 n^{2})

\frac{2 x}{5} - \frac{x}{3}

(3 x^{2})^{- 5}

(3)^{2} + (1)^{2}

27 m^{3} + 125 n^{3}

x^{2} - \frac{16}{49}

What is factor 60m^4-120m^3n+50m^2n^2 ?
The solution to factor 60m^4-120m^3n+50m^2n^2 is 10m^2(6m^2-12mn+5n^2)