What is factor 17m^3n^3-51m^2n^2+85mn ?

The solution to factor 17m^3n^3-51m^2n^2+85mn is 17mn(m^2n^2-3mn+5)

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factor 17m^3n^3-51m^2n^2+85mn

factor

17 m^{3} n^{3} - 51 m^{2} n^{2} + 85 mn

17 mn (m^{2} n^{2} - 3 mn + 5)

Solution steps

17 m^{3} n^{3} - 51 m^{2} n^{2} + 85 mn

Apply exponent rule:

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

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

= 17 m m^{2} n n^{2} - 51 mmnn + 85 mn

Rewrite

85

5 \cdot 17

Rewrite

- 51

3 \cdot 17

= 17 m m^{2} n n^{2} + 3 \cdot 17 mmnn + 5 \cdot 17 mn

Factor out common term

17 mn

= 17 mn (m^{2} n^{2} - 3 mn + 5)

8 w^{2} - 2 v + w v - 16 w

4 (x - 2) - 5 (2 x - 6) = 8 (x + 1) - 3 (2 x + 3)

\frac{64}{3} - 32

v^{2} - 10 v + 25

(\frac{4}{6} + \frac{3}{6}) - \frac{1}{3}

What is factor 17m^3n^3-51m^2n^2+85mn ?
The solution to factor 17m^3n^3-51m^2n^2+85mn is 17mn(m^2n^2-3mn+5)