当n为正整数,且x的2n次方等于5,求(2x的4n次方)的2次方减4(x的3次方)的2n次方的值

2025-01-19 22:06:47
推荐回答(3个)
回答1:

x^2n=5 x^4n=25 x^6n=125 x^8n=625
(2x的4n次方)的2次方减4(x的3次方)的2n次方
=4(x)^8n-4*x^6n
=4(625-125)
=4*500
=2000

回答2:

(2x^4n)^2-4(x^3)^2n
=4x^8n-4x^6n
=(x^2n)^4*4-(x^2n)^3*4
=5^4*4-5^3*4
=625*4-125*4
=4*(625-125)
=4*500
=2000

回答3:

2000.
提取公因数法.
同指数幂...