What is factor 18m^2n^4-12m^2n^3+24m^2n^2 ?

The solution to factor 18m^2n^4-12m^2n^3+24m^2n^2 is 6m^2n^2(3n^2-2n+4)

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factor 18m^2n^4-12m^2n^3+24m^2n^2

factor

18 m^{2} n^{4} - 12 m^{2} n^{3} + 24 m^{2} n^{2}

6 m^{2} n^{2} (3 n^{2} - 2 n + 4)

Solution steps

18 m^{2} n^{4} - 12 m^{2} n^{3} + 24 m^{2} n^{2}

Apply exponent rule:

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

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

= 18 m^{2} n^{2} n^{2} - 12 m^{2} n^{2} n + 24 m^{2} n^{2}

Rewrite

24

4 \cdot 6

Rewrite

- 12

2 \cdot 6

= 3 \cdot 6 m^{2} n^{2} n^{2} + 2 \cdot 6 m^{2} n^{2} n + 4 \cdot 6 m^{2} n^{2}

Factor out common term

6 m^{2} n^{2}

= 6 m^{2} n^{2} (3 n^{2} - 2 n + 4)

2 x^{3} - 3 x^{2} + x

\frac{2 x - 1}{x - 1} = 3

\frac{32 a ^{2} b c ^{3}}{20 ab c}

(2^{2})^{- 2}

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

What is factor 18m^2n^4-12m^2n^3+24m^2n^2 ?
The solution to factor 18m^2n^4-12m^2n^3+24m^2n^2 is 6m^2n^2(3n^2-2n+4)