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(2+10)(2^2+1)(2^4+1)(2^8+1) ???
应该是 (2+1)(2^2+1)(2^4+1)(2^8+1) 吧!
~~~
若是,解答如下:
(2+1)(2^2 +1)(2^4 +1)(2^8 +1)
=(2-1)(2+1)(2^2 +1)(2^4 +1)(2^8 +1) (利用平方差公式)
=(2^2 -1)(2^2 +1)(2^4 +1)(2^8 +1)
=(2^4 -1)(2^4 +1)(2^8 +1)
=(2^8 -1)(2^8 +1)
=2^16 -1
=65535
(3x-2)²-(2x+3)²
=[(3x-2)+(2x+3)]×[(3x-2)-(2x+3)]
=(5x+1)(x-5)
应该是 (2+1)(2^2+1)(2^4+1)(2^8+1) 吧!
~~~
若是,解答如下:
(2+1)(2^2 +1)(2^4 +1)(2^8 +1)
=(2-1)(2+1)(2^2 +1)(2^4 +1)(2^8 +1) (利用平方差公式)
=(2^2 -1)(2^2 +1)(2^4 +1)(2^8 +1)
=(2^4 -1)(2^4 +1)(2^8 +1)
=(2^8 -1)(2^8 +1)
=2^16 -1
=65535
(3x-2)²-(2x+3)²
=[(3x-2)+(2x+3)]×[(3x-2)-(2x+3)]
=(5x+1)(x-5)
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