What is expand n^{1/2}(n^{3/2}+n+5) ?

The solution to expand n^{1/2}(n^{3/2}+n+5) is n^2+n^{3/2}+n^{1/2}*5

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expand n^{1/2}(n^{3/2}+n+5)

expand

n^{\frac{1}{2}} (n^{\frac{3}{2}} + n + 5)

n^{2} + n^{\frac{3}{2}} + n^{\frac{1}{2}} \cdot 5

Solution steps

n^{\frac{1}{2}} (n^{\frac{3}{2}} + n + 5)

Apply the distributive law:

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

n^{\frac{1}{2}} (n^{\frac{3}{2}} + n + 5) = n^{\frac{1}{2}} n^{\frac{3}{2}} + n^{\frac{1}{2}} n + n^{\frac{1}{2}} \cdot 5

= n^{\frac{1}{2}} n^{\frac{3}{2}} + n^{\frac{1}{2}} n + n^{\frac{1}{2}} \cdot 5

n^{\frac{1}{2}} n^{\frac{3}{2}} = n^{2}

n^{\frac{1}{2}} n = n^{\frac{3}{2}}

= n^{2} + n^{\frac{3}{2}} + n^{\frac{1}{2}} \cdot 5

lo g_{7} (x) (5 y (3 y + 4))

(y - x y^{'} (x))^{3}

\frac{4 x ^{5} + 2 x ^{4} - 4 x ^{3}}{( x + 1 ) ^{2}}

- 2

\frac{1}{3} (2 - x)^{3}

What is expand n^{1/2}(n^{3/2}+n+5) ?
The solution to expand n^{1/2}(n^{3/2}+n+5) is n^2+n^{3/2}+n^{1/2}*5