What is factor 9m^4n^5-27m^2n^3 ?

The solution to factor 9m^4n^5-27m^2n^3 is 9m^2n^3(m^2n^2-3)

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factor 9m^4n^5-27m^2n^3

factor

9 m^{4} n^{5} - 27 m^{2} n^{3}

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

Solution steps

9 m^{4} n^{5} - 27 m^{2} n^{3}

Apply exponent rule:

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

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

= 9 m^{2} m^{2} n^{3} n^{2} - 27 m^{2} n^{3}

Rewrite

- 27

3 \cdot 9

= 9 m^{2} m^{2} n^{3} n^{2} + 3 \cdot 9 m^{2} n^{3}

Factor out common term

9 m^{2} n^{3}

= 9 m^{2} n^{3} (m^{2} n^{2} - 3)

3 z^{2} + 17 z + 16 = 0

lo g_{5} (125) = y

5 x^{2} - 16 x + 11 = 0

\frac{24}{3}

- 16 t^{2} + 16 t + 480 = 0

What is factor 9m^4n^5-27m^2n^3 ?
The solution to factor 9m^4n^5-27m^2n^3 is 9m^2n^3(m^2n^2-3)