求值:(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)-2^32
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![求值:(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)-2^32](/uploads/image/z/2114613-45-3.jpg?t=%E6%B1%82%E5%80%BC%EF%BC%9A%EF%BC%882%2B1%EF%BC%89%EF%BC%882%26%23178%3B%2B1%EF%BC%89%EF%BC%882%5E4%2B1%EF%BC%89%EF%BC%882%5E8%2B1%EF%BC%89%EF%BC%882%5E16%2B1%EF%BC%89-2%5E32)
求值:(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)-2^32
求值:(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)-2^32
求值:(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)-2^32
原式=(2-1)(2+1)(2²+1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2²-1)(2²+1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)-2^32
=(2^8-1)(2^8+1)(2^16+1)-2^32
=(2^16-1)(2^16+1)-2^32
=(2^32-1)-2^32
=-1