利用分式简便计算:201²+198²-99²-301²+199²-202²
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利用分式简便计算:201²+198²-99²-301²+199²-202²
利用分式简便计算:201²+198²-99²-301²+199²-202²
利用分式简便计算:201²+198²-99²-301²+199²-202²
201^2+198^2-99^2-301^2+199^2-202^2
=(201^2-99^2) +(198^2-202^2) +(199^2-301^2)
=(201+99)(201-99)+ (198-202)(198+202)+(199-301)(199+301)
=300x102- 400x4 - 500x102
= -200x102-400x4
=-200(102+8)
=-22000
=(201²-301²)+(198²-202²)+(199²-99²)
=(201+301)(201-301)+(198+202)(198-202)+(199+99)(199-99)
=-100*502-200*4+298*100
=-100*(502-298)-800
=-100*204-800
=-20400-800
=-21200