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

Toán Lớp 8: Đặt tính (x⁴-x²+2x-1) : (x²+x-1)-(x²-x)

Toán Lớp 8: Đặt tính
(x⁴-x²+2x-1) : (x²+x-1)-(x²-x)

Comments ( 1 )

  1. (x^4-x^2+2x-1):(x^2+x+1)-(x^2-x)
    = [x^4-(x^2-2x+1)]:(x^2+x+1)-(x^2-x)
    = [ x^4-(x-1)^2]:(x^2+x+1)-(x^2-x)
    = [(x^2-x+1).(x^2+x+1)]:(x^2+x+1)-(x^2-x)
    = x^2-x+1- x^2+x
    = 1
    – Áp dụng hằng đẳng thức: A^2 – B^2 = (A+B).(A-B).
    – Và (A+B)^2 = A^2 + 2.AB + B^2 và (A-B)^2 = A^2 – 2.AB + B^2.
     

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