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

Toán Lớp 8: 4, Tính nhanh a, 35^2+65^2+70.65 b, 68^2+28^2-56.68 5, CMR: a, (a-b).(a^2+ab+b^2)-(a+b).(a^2-ab+b^2)=-2b^2 b, (a^2+b^2).(c^2+d^2) = (ac

Toán Lớp 8: 4, Tính nhanh
a, 35^2+65^2+70.65
b, 68^2+28^2-56.68
5, CMR:
a, (a-b).(a^2+ab+b^2)-(a+b).(a^2-ab+b^2)=-2b^2
b, (a^2+b^2).(c^2+d^2) = (ac+bd)^2 + (ad-bc)^2
CTLHN LUÔN @@

Comments ( 1 )

  1. 4.
    a)35²+65²+70.65
    =35²+70.65+65²
    =35²+2.35.65+65²
    =(35+65)²
    =100²
    =10 000
    b)68²+28²-56.68
    =68²-56.68+28²
    =68²-2.68.28+28²
    =(68-28)²
    =40²
    =1 600
    5.
    a) Sửa đề:(a-b)(a²+ab+b²)-(a+b)(a²-ab+b²)=-2b²
    →(a-b)(a²+ab+b²)-(a+b)(a²-ab+b²)=-2b³
    VT=(a-b)(a²+ab+b²)-(a+b)(a²-ab+b²)
          =a³-b³-(a³+b³)
          =a³-b³-a³-b³
          =(a³-a³)-(b³+b³)
          =-2b³
          =VP
    ⇒đpcm
    b)VT=(a²+b²)(c²+d²)
             =a²c²+a²d²+b²c²+b²d²
             =a²c²+a²d²+b²c²+b²d²+2abcd-2abcd
             =(a²c²+2abcd+b²d²)+(a²d²-2abcd+b²c²)
             =[(ac)²+2.ac.bd+(bd)²]+[(ad)²-2.ad.bc+(bc)²]
             =(ac+bd)²+(ad-bc)²
             =VP
    ⇒đpcm

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

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