What is factor 9m^2n+18mn^2-27mn ?

The solution to factor 9m^2n+18mn^2-27mn is 9mn(m+2n-3)

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factor 9m^2n+18mn^2-27mn

factor

9 m^{2} n + 18 m n^{2} - 27 mn

9 mn (m + 2 n - 3)

Solution steps

9 m^{2} n + 18 m n^{2} - 27 mn

Apply exponent rule:

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

m^{2} n = mmn, m n^{2} = mnn

= 9 mmn + 18 mnn - 27 mn

Rewrite

- 27

3 \cdot 9

Rewrite

18

2 \cdot 9

= 9 mmn + 2 \cdot 9 mnn + 3 \cdot 9 mn

Factor out common term

9 mn

= 9 mn (m + 2 n - 3)

2 x^{2} - 12 x + 8 = 5

x + 5 = x - 13

x^{2} + x - 12 \leq 0

35 + 45

5 (m - 8) - 4 m (m - 8)

What is factor 9m^2n+18mn^2-27mn ?
The solution to factor 9m^2n+18mn^2-27mn is 9mn(m+2n-3)