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

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

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expand (sqrt(4-x^2))^2

expand

(4 - x^{2})^{2}

- x^{2} + 4

Solution steps

(4 - x^{2})^{2}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((4 - x^{2})^{\frac{1}{2}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (4 - x^{2})^{\frac{1}{2} \cdot 2}

\frac{1}{2} \cdot 2 = 1

= 4 - x^{2}

Rewrite in standard form

= - x^{2} + 4

(15 x^{2} - 14 x) d x - d y

\frac{x + 1}{( x - 8 ) ( x + 5 )}

\frac{Vi wl}{R ( 1 - w ^{2} l c ) + i wl}

\frac{1}{( 1 - b ) ( 1 - a )}

\frac{3 e ^{- 2 x}}{x ( 10 x + 1 )}

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