What is factor 27m^3n^2-15m^5n^3 ?

The solution to factor 27m^3n^2-15m^5n^3 is 3m^3n^2(9-5m^2n)

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factor 27m^3n^2-15m^5n^3

factor

27 m^{3} n^{2} - 15 m^{5} n^{3}

3 m^{3} n^{2} (9 - 5 m^{2} n)

Solution steps

27 m^{3} n^{2} - 15 m^{5} n^{3}

Apply exponent rule:

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

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

= 27 m^{3} n^{2} - 15 m^{3} m^{2} n^{2} n

Rewrite

- 15

5 \cdot 3

Rewrite

27

9 \cdot 3

= 9 \cdot 3 m^{3} n^{2} + 5 \cdot 3 m^{3} m^{2} n^{2} n

Factor out common term

3 m^{3} n^{2}

= 3 m^{3} n^{2} (9 - 5 m^{2} n)

18 + 4 t > 54

3 (2 x + 4) - 2 x + 1 = 17

400 - q^{2} = 20 q + 100

t^{2} + 9 t + 14

8 m + 36 n

What is factor 27m^3n^2-15m^5n^3 ?
The solution to factor 27m^3n^2-15m^5n^3 is 3m^3n^2(9-5m^2n)