What is factor 2u^2v-20uv^2+50v^3 ?

The solution to factor 2u^2v-20uv^2+50v^3 is 2v(u-5v)^2

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factor 2u^2v-20uv^2+50v^3

factor

2 u^{2} v - 20 u v^{2} + 50 v^{3}

2 v (u - 5 v)^{2}

Solution steps

2 u^{2} v - 20 u v^{2} + 50 v^{3}

Factor out common term

2 v : 2 v (u^{2} - 10 uv + 25 v^{2})

= 2 v (u^{2} - 10 uv + 25 v^{2})

Factor

u^{2} - 10 uv + 25 v^{2} : (u - 5 v) (u - 5 v)

= 2 v (u - 5 v) (u - 5 v)

Apply exponent rule:

aa = a^{2}

(u - 5 v) (u - 5 v) = (u - 5 v)^{2}

= 2 v (u - 5 v)^{2}

\frac{x}{x + 5} + \frac{7 x + 10}{x ^{2} + 5 x}

(2 a^{2} b - 5 b^{3} + 4 a^{4} b^{2}) - (7 b^{3} + 8 a^{4} b^{2} - 7 a^{2} b)

0.25 b - 0.4 b + 0.2 b

What is factor 2u^2v-20uv^2+50v^3 ?
The solution to factor 2u^2v-20uv^2+50v^3 is 2v(u-5v)^2