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

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

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

expand

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

1 - x^{2} - x^{2} 1 - x^{2}

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

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

= 1 - x^{2} - x^{2} 1 - x^{2}

\frac{( 4 ( S + 1 ) )}{( ( S ^{2} - 16 ) )}

- e^{x} (x + 3)

\frac{5 ( 6 2 + 5 )}{8} - \frac{25}{16}

\frac{( S - 4 ) ( Z ^{2} - 1.2 Z + 0.2 )}{( S - 1 ) ( S + 2 )}

m (0, 0) n (- 2, - 3)

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