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

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

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expand (3x^2+2)x^{1/2}

expand

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

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

Solution steps

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

= x^{\frac{1}{2}} (3 x^{2} + 2)

Apply the distributive law:

a (b + c) = ab + a c

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

= x^{\frac{1}{2}} \cdot 3 x^{2} + x^{\frac{1}{2}} \cdot 2

Simplify

x^{\frac{1}{2}} \cdot 3 x^{2} : 3 x^{\frac{5}{2}}

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

(x^{\frac{1}{3}} + y^{\frac{1}{3}})^{12}

(x + 2) \cdot 2 \cdot x - a

(4 x + y + 6 = 18, 0) (2 y + 2 x + 12 = 180)

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

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

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