What is (3u^3v^4-2u^5v^2+(u^2v^2)^2)/(u^3v^2) ?

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

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simplify (3u^3v^4-2u^5v^2+(u^2v^2)^2)/(u^3v^2)

simplify

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

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

Solution steps

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

Simplify

(u^{2} v^{2})^{2} : u^{4} v^{4}

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

Factor

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

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

Cancel the common factor:

u^{3}

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

Cancel the common factor:

v^{2}

= 3 v^{2} - 2 u^{2} + u v^{2}

- 40 = 4 x + 20 + x

a^{2} + 28 a + 27

e^{\frac{2 πi}{8}}

t, a = p + p r t

96 \cdot 4

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