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

The solution to expand pi(4-x^2)^2 is pix^4-8pix^2+16pi

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expand pi(4-x^2)^2

expand

π (4 - x^{2})^{2}

π x^{4} - 8 π x^{2} + 16 π

Solution steps

π (4 - x^{2})^{2}

(4 - x^{2})^{2} = 16 - 8 x^{2} + x^{4}

= π (x^{4} - 8 x^{2} + 16)

Distribute parentheses

= π 16 + π (- 8 x^{2}) + π x^{4}

Apply minus-plus rules

+ (- a) = - a

= 16 π - 8 π x^{2} + π x^{4}

Rewrite in standard form

= π x^{4} - 8 π x^{2} + 16 π

\frac{5 x + 1}{( x - 1 ) ( x + 1 ) ( x + 2 )}

(19 sin (x) - 1) (19 sin (x) + 1)

\frac{2 ( 3 339 - 55 )}{5}

3 (\frac{π}{4} + \frac{1}{2})

(- sin (2 t) - 3 sin (t))^{2}

What is expand pi(4-x^2)^2 ?
The solution to expand pi(4-x^2)^2 is pix^4-8pix^2+16pi