What is factor 18u^2v-12uv^2+2v^3 ?

The solution to factor 18u^2v-12uv^2+2v^3 is 2v(3u-v)^2

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factor 18u^2v-12uv^2+2v^3

factor

18 u^{2} v - 12 u v^{2} + 2 v^{3}

2 v (3 u - v)^{2}

Solution steps

18 u^{2} v - 12 u v^{2} + 2 v^{3}

Factor out common term

2 v : 2 v (9 u^{2} - 6 uv + v^{2})

= 2 v (9 u^{2} - 6 uv + v^{2})

Factor

9 u^{2} - 6 uv + v^{2} : (3 u - v) (3 u - v)

= 2 v (3 u - v) (3 u - v)

Apply exponent rule:

aa = a^{2}

(3 u - v) (3 u - v) = (3 u - v)^{2}

= 2 v (3 u - v)^{2}

\frac{3}{6} + \frac{1}{2}

\frac{( k ^{3} + 8 k ^{2} + 10 k + 21 )}{( k + 7 )}

3 \times (- 6)

(x + 1)^{3} - (x - 1)^{3}

\frac{1}{2} x + \frac{1}{2} x

What is factor 18u^2v-12uv^2+2v^3 ?
The solution to factor 18u^2v-12uv^2+2v^3 is 2v(3u-v)^2