展开 pi^8(19-sqrt(2-y^2))^2

解答

展开

π^{8} (19 - 2 - y^{2})^{2}

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

求解步骤

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)

打开括号

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

使用加减运算法则

+ (- a) = - a

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

e x p an d \frac{- 2 x ^{5} + 2 x}{( x ^{4} + 1 ) ^{2}}

e x p an d 36 (π - 2)

e x p an d \frac{( x ^{2} - 2 x - 15 ) ( x + 3 )}{( - x ^{2} - 1 ) ( x - 2 )}

e x p an d l im x \Rightarrow - 2 (x^{2} - x - 6)

e x p an d t e^{4 t} f (t - 3) H (t - 3)