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

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

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

expand

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

2 2 - x^{2} - x^{2} 2 - x^{2}

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

2 - x^{2} (2 - x^{2}) = 2 - x^{2} \cdot 2 - 2 - x^{2} x^{2}

= 2 - x^{2} \cdot 2 - 2 - x^{2} x^{2}

= 2 2 - x^{2} - x^{2} 2 - x^{2}

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

\frac{( x + 7 ) ^{7}}{8}

cot (4 x) (sin (4 x) + 2 sin (4 x) cos (3 x))

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

\frac{x + 69}{( x - 8 ) ( x + 3 )}

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