作业帮1.计算(1)(5+1)*(5^2+1)*(5^4+1)*(5^8+1)-1/4*5^16(2)(2+1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)/2^32-1
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1.计算(1)(5+1)*(5^2+1)*(5^4+1)*(5^8+1)-1/4*5^16(2)(2+1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)/2^32-1
1.计算
(1)(5+1)*(5^2+1)*(5^4+1)*(5^8+1)-1/4*5^16
(2)(2+1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)/2^32-1
1.计算(1)(5+1)*(5^2+1)*(5^4+1)*(5^8+1)-1/4*5^16(2)(2+1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)/2^32-1
给你思路吧,是分解因式的应用
(1)
(5+1)*(5^2+1)*(5^4+1)*(5^8+1)-1/4*5^16
=[(5-1)(5+1)*(5^2+1)*(5^4+1)*(5^8+1)-1/4*5^16 ]/4
=[(5^2-1)(5^2+1)*(5^4+1)*(5^8+1)-1/4*5^16 ]/4
=.
（2）
(2+1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)/2^32-1
=（2-1）*(2+1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)/2^32-1
=.
1、(5+1)*(5^2+1)*(5^4+1)*(5^8+1)=(5-1)*(5+1)*(5^2+1)*(5^4+1)*(5^8+1)/(5-1)=(5^2-1)(5^2+1)*(5^4+1)*(5^8+1)/4=1/4*5^16.
所以(5+1)*(5^2+1)*(5^4+1)*(5^8+1)-1/4*5^16=0
2、同理，
(2+1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)=(2^32-1)/(2-1)
(2+1)*(2^2+1)*(2^4+1)*(2^8+1)*(2^16+1)/2^32-1=1
0,1
、(5+1)*(5^2+1)*(5^4+1)*(5^8+1)=(5-1)*(5+1)*(5^2+1)*(5^4+1)*(5^8+1)/(5-1)=(5^2-1)(5^2+1)*(5^4+1)*(5^8+1)/4=1/4*5^16