What is expand pi(1-X^2)^2 ?

The solution to expand pi(1-X^2)^2 is piX^4-2piX^2+pi

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expand pi(1-X^2)^2

expand

π (1 - X^{2})^{2}

π X^{4} - 2 π X^{2} + π

Solution steps

π (1 - X^{2})^{2}

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

= π (X^{4} - 2 X^{2} + 1)

Distribute parentheses

= π 1 + π (- 2 X^{2}) + π X^{4}

Apply minus-plus rules

+ (- a) = - a

= 1 π - 2 π X^{2} + π X^{4}

Multiply:

1 π = π

= π - 2 π X^{2} + π X^{4}

Rewrite in standard form

= π X^{4} - 2 π X^{2} + π

(x + 1 - x^{2})^{5}

1 n (x^{\frac{2}{5}} y^{\frac{4}{3}})

\frac{- 3 y ^{3} - 6 x ^{2} y}{x ( 2 x ^{2} + 9 y ^{2} )}

\frac{1 - cot ^{4} ( x )}{csc ^{2} ( x ) ( sin ( x ) + cos ( x ) )}

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

What is expand pi(1-X^2)^2 ?
The solution to expand pi(1-X^2)^2 is piX^4-2piX^2+pi