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

Toán Lớp 8: tính nhanh: a) 77^2+ 23^2+77.46 b) 105^2-5^2

Toán Lớp 8: tính nhanh:
a) 77^2+ 23^2+77.46
b) 105^2-5^2

Comments ( 2 )

  1. Giải đáp:
    a, 77^2 + 23^2 + 77.46
    = 77^2 + 77.46 + 23^2
    = 77^2 + 2.77.23 + 23^2
    = (77 + 23)^2
    = 100^2
    = 10000
    -> Áp dụng HĐT (1) – (A + B)^2 = A^2 + 2AB + B^2
    ——————-
    b, 105^2 – 5^2
    = (105 – 5).(105 + 5)
    = 100.110
    = 11000
    -> Áp dụng HĐT (3) – A^2 – B^2 = (A – B).(A + B)
    #dariana

  2. a)
    77^2 + 23^2 + 77. 46
    = 77^2 + 23^2 + 77. 23. 2
    = ( 77 + 23 )^2
    = 100^2
    = 10 000
    b)
    105^2 – 5^2
    = ( 105 + 5 ). ( 105 – 5 )
    = 110. 100
    = 11 000
    ________________
    $\text{ Hằng đẳng thức : }$
    ( a + b )^2 = a^2 + 2ab + b^2
    a^2 – b^2 = ( a + b ). ( a – b )
     

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