What is expand (2*sqrt(x))*(x^2+1) ?

The solution to expand (2*sqrt(x))*(x^2+1) is 2x^2sqrt(x)+2sqrt(x)

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expand (2sqrt(x))(x^2+1)

expand

(2 \cdot x) \cdot (x^{2} + 1)

2 x^{2} x + 2 x

Solution steps

(2 x) (x^{2} + 1)

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

2 x x^{2} + 2 x \cdot 1 : 2 x^{2} x + 2 x

= 2 x^{2} x + 2 x

\frac{2 sin ( 2 θ )}{( 1 + cos ( 2 θ ) ( 1 - tan ^{2} ( θ ) ) )}

(3 - 2)^{4}

- \frac{( x + 12 ) ( x + 8 ) ( x - 0 ) ( x - 12 )}{10240}

(1 + t) y^{''} (t) + (- 1 + t) y^{'} (t) - 2 y

(f \circ g) (2 x + 1) - 3

What is expand (2*sqrt(x))*(x^2+1) ?
The solution to expand (2*sqrt(x))*(x^2+1) is 2x^2sqrt(x)+2sqrt(x)