展开 (x-pi/4)(x-pi/4-h)(x-pi/4-2h)

解答

展开

(x - \frac{π}{4}) (x - \frac{π}{4} - h) (x - \frac{π}{4} - 2 h)

x^{3} - \frac{3 π x ^{2}}{4} - 3 h x^{2} + \frac{3 π ^{2} x}{16} + 2 h^{2} x + \frac{3 πh x}{2} - \frac{π ^{3}}{64} - \frac{π h ^{2}}{2} - \frac{3 π ^{2} h}{16}

求解步骤

(x - \frac{π}{4}) (x - \frac{π}{4} - h) (x - \frac{π}{4} - 2 h)

乘开

(x - \frac{π}{4}) (x - \frac{π}{4} - h) : - h x - \frac{π x}{2} + x^{2} + \frac{πh}{4} + \frac{π ^{2}}{16}

= (- h x - \frac{π x}{2} + x^{2} + \frac{πh}{4} + \frac{π ^{2}}{16}) (x - \frac{π}{4} - 2 h)

乘开

(- h x - \frac{π x}{2} + x^{2} + \frac{πh}{4} + \frac{π ^{2}}{16}) (x - \frac{π}{4} - 2 h) : x^{3} - \frac{3 π x ^{2}}{4} - 3 h x^{2} + \frac{3 π ^{2} x}{16} + 2 h^{2} x + \frac{3 πh x}{2} - \frac{π ^{3}}{64} - \frac{π h ^{2}}{2} - \frac{3 π ^{2} h}{16}

= x^{3} - \frac{3 π x ^{2}}{4} - 3 h x^{2} + \frac{3 π ^{2} x}{16} + 2 h^{2} x + \frac{3 πh x}{2} - \frac{π ^{3}}{64} - \frac{π h ^{2}}{2} - \frac{3 π ^{2} h}{16}

e x p an d (e^{2 t} + e^{- 2 t})^{2}

e x p an d \frac{54}{( s - 4 ) ^{3}}

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