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

Toán Lớp 8: Giúp mình với!!!!!!!!!!! Rút gọn phân thức: $\frac{a^{2}-2ab+b^{2}-c^{2}}{a^{2}+b^{2}+c^{2}-2ab-2bc+2ac}$

Toán Lớp 8: Giúp mình với!!!!!!!!!!!
Rút gọn phân thức:
$\frac{a^{2}-2ab+b^{2}-c^{2}}{a^{2}+b^{2}+c^{2}-2ab-2bc+2ac}$

Comments ( 1 )

  1. Giải đáp:
    {a^2 – 2ab + b^2 – c^2}/{a^2 + b^2 + c^2 – 2ab – 2bc + 2ac}
    = {(a^2 – 2ab + b^2) – c^2}/{a^2−2ab+2ac+b^2−2bc+c^2}
    = [(a – b)^2 – c^2]/[a^2−ab+ac−ab+b^2−bc+ac−bc+c^2]
    = [(a – b – c).(a – b + c)]/[a^2−ab+ac−(ab−b^2+bc)+ac−bc+c^2]
    = [(a – b – c).(a – b + c)]/[a.(a−b+c)−b.(a−b+c)+c.(a−b+c)]
    = [(a – b – c).(a – b + c)]/[(a−b+c).(a−b+c)]
    = [a – b – c]/[a – b + c]
    #dariana

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