What is factor 3/2 u^2v^4-5/2 u^3v^5+1/2 u^4v^2 ?

The solution to factor 3/2 u^2v^4-5/2 u^3v^5+1/2 u^4v^2 is u^2v^2((3v^2)/2-(5uv^3)/2+(u^2)/2)

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factor 3/2 u^2v^4-5/2 u^3v^5+1/2 u^4v^2

factor

\frac{3}{2} u^{2} v^{4} - \frac{5}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}

u^{2} v^{2} (\frac{3 v ^{2}}{2} - \frac{5 u v ^{3}}{2} + \frac{u ^{2}}{2})

Solution steps

\frac{3}{2} u^{2} v^{4} - \frac{5}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}

Factor

\frac{3 u ^{2} v ^{4}}{2} - \frac{5}{2} u^{3} v^{5} + \frac{u ^{4} v ^{2}}{2} : u^{2} v^{2} (\frac{3 v ^{2}}{2} - \frac{5}{2} u v^{3} + \frac{u ^{2}}{2})

= u^{2} v^{2} (\frac{3 v ^{2}}{2} - \frac{5}{2} u v^{3} + \frac{u ^{2}}{2})

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= u^{2} v^{2} (\frac{3 v ^{2}}{2} - \frac{5 u v ^{3}}{2} + \frac{u ^{2}}{2})

12 x - 3 - 4 < 2

m^{2} - 8 mn + 7 n^{2}

\frac{6}{7} \cdot (\frac{9}{4} + \frac{3}{8})

\frac{1}{4} - \frac{4}{5}

1620

What is factor 3/2 u^2v^4-5/2 u^3v^5+1/2 u^4v^2 ?
The solution to factor 3/2 u^2v^4-5/2 u^3v^5+1/2 u^4v^2 is u^2v^2((3v^2)/2-(5uv^3)/2+(u^2)/2)