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

Toán Lớp 7: cho tỉ lệ thức a/b=c/d CMR: a ²/b ²=3a ²-2ac/3b ²-2bd

Toán Lớp 7: cho tỉ lệ thức a/b=c/d
CMR: a ²/b ²=3a ²-2ac/3b ²-2bd

Comments ( 2 )

  1. Đặt a/b=c/d=k⇒a=bk;c=dk
    Ta có: a²/b²=k²b²/b²=k²
    ⇒3a²-2ac/3b²-2bd=3k²b²-2kb.kd/3b²-2bd=k²(3b²-2d²)/3b²-2bd=k²
    Vậy a²/b²=3a²-2ac/3b²-2bd

  2. đặt a/b=c/d=k⇒a=bk;c=dk
    ta có: a^2/b^2=k^2b^2/b^2=k^2
    =>3a^2-2ac/3b^2-2bd=3k^2b^2-2kb.kd/3b^2-2bd=k^2(3b^2-2d^2)/3b^2-2bd=k^2
    vậy a^2/b^2=3a^2-2ac/3b^2-2bd
     

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