What is expand (7u^4+3u^3)/(-u^2) ?

The solution to expand (7u^4+3u^3)/(-u^2) is -7u^2-3u

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expand (7u^4+3u^3)/(-u^2)

expand

\frac{7 u ^{4} + 3 u ^{3}}{- u ^{2}}

- 7 u^{2} - 3 u

Solution steps

\frac{7 u ^{4} + 3 u ^{3}}{- u ^{2}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{7 u ^{4} + 3 u ^{3}}{u ^{2}}

Cancel

\frac{7 u ^{4} + 3 u ^{3}}{u ^{2}} : u (7 u + 3)

= - u (7 u + 3)

Apply the distributive law:

a (b + c) = ab + a c

a = - u, b = 7 u, c = 3

= - u \cdot 7 u + (- u) \cdot 3

Apply minus-plus rules

+ (- a) = - a

= - 7 uu - 3 u

7 uu = 7 u^{2}

= - 7 u^{2} - 3 u

2 x e^{y^{2} - x^{2}} - 2 x e^{y^{2} - x^{2}} (x^{2} + y^{2})

(x^{2} - x^{4},) 2 + (y^{2} - y^{2}) 2

cos (θ) (sec (θ) - (cos (θ)) = sin (2 θ))

\frac{2 ( x + 3 )}{3}

\frac{c ( - 2 b d + 2 b c + d ^{2} - c ^{2} )}{2 d}

What is expand (7u^4+3u^3)/(-u^2) ?
The solution to expand (7u^4+3u^3)/(-u^2) is -7u^2-3u