展开 ((y^3)/2-2/(y^3))^2

解答

展开

(\frac{y ^{3}}{2} - \frac{2}{y ^{3}})^{2}

\frac{- 8 y ^{6} + y ^{12} + 16}{4 y ^{6}}

求解步骤

(\frac{y ^{3}}{2} - \frac{2}{y ^{3}})^{2}

使用完全平方公式:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(\frac{y ^{3}}{2} - \frac{2}{y ^{3}})^{2} = (\frac{y ^{3}}{2})^{2} - 2 \cdot \frac{y ^{3}}{2} \cdot \frac{2}{y ^{3}} + (\frac{2}{y ^{3}})^{2}

= (\frac{y ^{3}}{2})^{2} - 2 \cdot \frac{y ^{3}}{2} \cdot \frac{2}{y ^{3}} + (\frac{2}{y ^{3}})^{2}

化简

(\frac{y ^{3}}{2})^{2} - 2 \cdot \frac{y ^{3}}{2} \cdot \frac{2}{y ^{3}} + (\frac{2}{y ^{3}})^{2} : \frac{- 8 y ^{6} + y ^{12} + 16}{4 y ^{6}}

= \frac{- 8 y ^{6} + y ^{12} + 16}{4 y ^{6}}

e x p an d x (2 ln (x) + 1)

e x p an d \frac{( x - a ) ( x - b ) ( x - a - d )}{( x - c ) ( x - d ) ( x - a - b )}

e x p an d (2 x) (2 x)

e x p an d - 3 (25 x - 7)^{2} - 49

e x p an d A (- 4, 7) B (6, - 2)