展开 16cos^4(2)(e^{4x}*4x^4+4x^3e^{4x})

解答

展开

16 cos^{4} (2) (e^{4 x} \cdot 4 x^{4} + 4 x^{3} e^{4 x})

64 cos^{4} (2) e^{4 x} x^{4} + 64 cos^{4} (2) e^{4 x} x^{3}

求解步骤

16 cos^{4} (2) (e^{4 x} \cdot 4 x^{4} + 4 x^{3} e^{4 x})

= 16 cos^{4} (2) (4 e^{4 x} x^{4} + 4 e^{4 x} x^{3})

使用分配律:

a (b + c) = ab + a c

a = 16 cos^{4} (2), b = e^{4 x} \cdot 4 x^{4}, c = 4 x^{3} e^{4 x}

= 16 cos^{4} (2) e^{4 x} \cdot 4 x^{4} + 16 cos^{4} (2) \cdot 4 x^{3} e^{4 x}

= 16 \cdot 4 cos^{4} (2) e^{4 x} x^{4} + 16 \cdot 4 cos^{4} (2) e^{4 x} x^{3}

数字相乘:

16 \cdot 4 = 64

= 64 cos^{4} (2) e^{4 x} x^{4} + 64 cos^{4} (2) e^{4 x} x^{3}

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

e x p an d \frac{- 17 x - 36}{( x + 1 ) ( 5 x + 9 )}

e x p an d (4, - 3) y (1, 3)

s im pl i f y (x - 4) \cdot (x^{2} - 4)

e x p an d x^{2} + (y - 3)^{2}