What is expand sqrt(u)(u^2+3u+7) ?

The solution to expand sqrt(u)(u^2+3u+7) is u^2sqrt(u)+3usqrt(u)+7sqrt(u)

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expand sqrt(u)(u^2+3u+7)

expand

u (u^{2} + 3 u + 7)

u^{2} u + 3 u u + 7 u

Solution steps

u (u^{2} + 3 u + 7)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

u (u^{2} + 3 u + 7) = u u^{2} + u \cdot 3 u + u \cdot 7

= u u^{2} + u \cdot 3 u + u \cdot 7

= u^{2} u + 3 u u + 7 u

(- 2 n p + n) (n - n)

(1 + x^{2}) (2 x + arcsin (x) 1 - x^{2} - arccos (x) 1 - x^{2})

\frac{12 x}{( x ^{2} + 3 ) ^{2}}

\frac{( x - 4 y ) ^{2}}{x ^{5} + 64 x ^{2} y ^{3}}

\frac{( x - 44 ) ( x + 5 )}{( x + 2 ) ( x - 6 )}

What is expand sqrt(u)(u^2+3u+7) ?
The solution to expand sqrt(u)(u^2+3u+7) is u^2sqrt(u)+3usqrt(u)+7sqrt(u)