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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: `(8018)/(2004*2006-2003*2005)` Rút gọn phân thức

Toán Lớp 8: (8018)/(2004*2006-2003*2005)
Rút gọn phân thức

Comments ( 2 )

  1. Ta có 
    2004.2006-2003.2005=(2005-1)(2005+1)-(2004-1)(2004+1)
    =2005²-1-2004²+1
    =2005²-2004²=(2004+2005)(2005-2004)
    =4009
    8018/4019=2
     

  2. —————-Gửi bạn—————-
    \frac{8018}{2004 . 2006 – 2003 . 2005}
    = \frac{8018}{(2005-1)(2005+1) – (2004-1)(2004+1)}
    = \frac{8018}{2005^2 – 1 – 2004^2 + 1}
    = \frac{8018}{2005^2 – 2004^2}
    = \frac{8018}{(2005-2004)(2005+2004)}
    = \frac{8018}{1 . 4009}
    = \frac{8018}{4009}=2
    Áp dụng HĐT :
    a^2 – b^2 = (a-b)(a+b)
    CHÚC HỌC TỐT
    XIN HAY NHẤT
     

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222-9+11+12:2*14+14 = ? ( )