What is factor 8m^2n^2-24mn^3+16mn ?

The solution to factor 8m^2n^2-24mn^3+16mn is 8mn(mn-3n^2+2)

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factor 8m^2n^2-24mn^3+16mn

factor

8 m^{2} n^{2} - 24 m n^{3} + 16 mn

8 mn (mn - 3 n^{2} + 2)

Solution steps

8 m^{2} n^{2} - 24 m n^{3} + 16 mn

Apply exponent rule:

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

m^{2} n^{2} = mmnn, m n^{3} = mn n^{2}

= 8 mmnn - 24 mn n^{2} + 16 mn

Rewrite

16

2 \cdot 8

Rewrite

- 24

3 \cdot 8

= 8 mmnn + 3 \cdot 8 mn n^{2} + 2 \cdot 8 mn

Factor out common term

8 mn

= 8 mn (mn - 3 n^{2} + 2)

- 5 x - 2 \leq 3

x^{2} + 9 x + 4 = - x + 4

4 x^{3} (4 x - 8)^{2} + x^{4} (2) (4 x - 8) (8)

5 x^{3} + 25 x^{2} + 30 x

a^{2} + 6 a + 9 - b^{2}

What is factor 8m^2n^2-24mn^3+16mn ?
The solution to factor 8m^2n^2-24mn^3+16mn is 8mn(mn-3n^2+2)