展开 (4d^3e+2)(4d^3e+11)

解答

展开

(4 d^{3} e + 2) (4 d^{3} e + 11)

16 e^{2} d^{6} + 52 e d^{3} + 22

求解步骤

(4 d^{3} e + 2) (4 d^{3} e + 11)

= (4 e d^{3} + 2) (4 e d^{3} + 11)

使用 FOIL 方法:

(a + b) (c + d) = a c + a d + b c + b d

a = 4 d^{3} e, b = 2, c = 4 d^{3} e, d = 11

= 4 d^{3} e 4 d^{3} e + 4 d^{3} e 11 + 2 \cdot 4 d^{3} e + 2 \cdot 11

= 4 \cdot 4 ee d^{3} d^{3} + 4 \cdot 11 e d^{3} + 2 \cdot 4 e d^{3} + 2 \cdot 11

化简

4 \cdot 4 ee d^{3} d^{3} + 4 \cdot 11 e d^{3} + 2 \cdot 4 e d^{3} + 2 \cdot 11 : 16 e^{2} d^{6} + 52 e d^{3} + 22

= 16 e^{2} d^{6} + 52 e d^{3} + 22

e x p an d \frac{1}{s ( s + 1 ) ( s + 3 )}

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

e x p an d (t am x + cot (x)) cos (2 x)

e x p an d - B (x^{2} - x + 1)^{2}

s im pl i f y \frac{1}{2} (\frac{1}{2} sin (2 x) - \frac{1}{4} sin (4 x)) + C