What is expand sqrt(4-x^2)*sqrt(1+x) ?

The solution to expand sqrt(4-x^2)*sqrt(1+x) is sqrt(4+4x-x^2-x^3)

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expand sqrt(4-x^2)*sqrt(1+x)

expand

4 - x^{2} \cdot 1 + x

4 + 4 x - x^{2} - x^{3}

Solution steps

4 - x^{2} 1 + x

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- x^{2} + 4 x + 1 = (- x^{2} + 4) (x + 1)

= (- x^{2} + 4) (x + 1)

Expand

(4 - x^{2}) (1 + x) : 4 + 4 x - x^{2} - x^{3}

= 4 + 4 x - x^{2} - x^{3}

(m + m - 3)^{2}

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

4 x^{2} - x (8 + 9 x^{4} - 5 x)

(y^{2} - 3 y - x) d y

\frac{4}{n} (\frac{n ( n + 1 )}{2})

What is expand sqrt(4-x^2)*sqrt(1+x) ?
The solution to expand sqrt(4-x^2)*sqrt(1+x) is sqrt(4+4x-x^2-x^3)