What is expand pi^8(19-sqrt(2-y^2))^2 ?

The solution to expand pi^8(19-sqrt(2-y^2))^2 is -pi^8y^2-38pi^8sqrt(-y^2+2)+363pi^8

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expand pi^8(19-sqrt(2-y^2))^2

expand

π^{8} (19 - 2 - y^{2})^{2}

- π^{8} y^{2} - 38 π^{8} - y^{2} + 2 + 363 π^{8}

Solution steps

π^{8} (19 - 2 - y^{2})^{2}

(19 - 2 - y^{2})^{2} = - y^{2} - 38 - y^{2} + 2 + 363

= π^{8} (- y^{2} - 38 - y^{2} + 2 + 363)

Distribute parentheses

= π^{8} (- y^{2}) + π^{8} (- 38 - y^{2} + 2) + π^{8} \cdot 363

Apply minus-plus rules

+ (- a) = - a

= - π^{8} y^{2} - 38 π^{8} - y^{2} + 2 + 363 π^{8}

\frac{- 2 x ^{5} + 2 x}{( x ^{4} + 1 ) ^{2}}

36 (π - 2)

\frac{( x ^{2} - 2 x - 15 ) ( x + 3 )}{( - x ^{2} - 1 ) ( x - 2 )}

l im x \Rightarrow - 2 (x^{2} - x - 6)

t e^{4 t} f (t - 3) H (t - 3)

What is expand pi^8(19-sqrt(2-y^2))^2 ?
The solution to expand pi^8(19-sqrt(2-y^2))^2 is -pi^8y^2-38pi^8sqrt(-y^2+2)+363pi^8