利用分解因式 (1)202²+198² (2)1998²-1997²×1999 (3)、(2+1)(2²+1)(2⁴+1)(2^8+1)····(2^128+1)
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![利用分解因式 (1)202²+198² (2)1998²-1997²×1999 (3)、(2+1)(2²+1)(2⁴+1)(2^8+1)····(2^128+1)](/uploads/image/z/15102685-37-5.jpg?t=%E5%88%A9%E7%94%A8%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F+%EF%BC%881%EF%BC%89202%26%23178%3B%2B198%26%23178%3B+%EF%BC%882%EF%BC%891998%26%23178%3B-1997%26%23178%3B%C3%971999+%EF%BC%883%EF%BC%89%E3%80%81%EF%BC%882%2B1%EF%BC%89%EF%BC%882%26%23178%3B%2B1%EF%BC%89%EF%BC%882%26%238308%3B%2B1%EF%BC%89%EF%BC%882%5E8%2B1%EF%BC%89%C2%B7%C2%B7%C2%B7%C2%B7%EF%BC%882%5E128%2B1%EF%BC%89)
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利用分解因式 (1)202²+198² (2)1998²-1997²×1999 (3)、(2+1)(2²+1)(2⁴+1)(2^8+1)····(2^128+1)
利用分解因式
(1)202²+198²
(2)1998²-1997²×1999
(3)、(2+1)(2²+1)(2⁴+1)(2^8+1)····(2^128+1)
利用分解因式 (1)202²+198² (2)1998²-1997²×1999 (3)、(2+1)(2²+1)(2⁴+1)(2^8+1)····(2^128+1)
(1)202²+198²
=(200+2)²+(200-2)²
=40000+800+4+40000-800+4
=80000+8
=80008
(2)1998²-1997²×1999
=1998²-(1998-1)(1998+1)
=1998²-(1998²-1)
=1
(3)、(2+1)(2²+1)(2⁴+1)(2^8+1)····(2^128+1)
=(2-1)(2+1)(2²+1)(2⁴+1)(2^8+1)····(2^128+1)
=(2^2-1)(2²+1)(2⁴+1)(2^8+1)····(2^128+1)
=(2^4-1)(2⁴+1)(2^8+1)····(2^128+1)
=……
=2^256-1
1.(200+2)^2+(200-2)^2