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

Toán Lớp 8: ( x^2 + y^2 – 5 ) ^2 -4 (x+2) ^2

Toán Lớp 8: ( x^2 + y^2 – 5 ) ^2 -4 (x+2) ^2

Comments ( 2 )

  1. (x² + y² -5)²-4(x+2)²
    =(x² + y² – 5)² -2²(x + 2)²
    =(x² + y² – 5)² -[2(x + 2)]²
    =[(x² + y² – 5) +2(x + 2)].[(x² + y² – 5) -2(x + 2)]
    =(x² + y² – 5 + 2x + 4).(x² + y² – 5 – 2x – 4)
    =(x² + y² + 2x + 1).(x² + y² + 2x -9)

  2. Hướng dẫn trả lời:
    (x^2 + y^2 – 5)^2 – 4cdot(x + 2)^2
    = (x^2 + y^2 – 5)^2 – [2cdot(x + 2)]^2
    = [(x^2 + y^2 – 5) + 2cdot(x + 2)]cdot[(x^2 + y^2 – 5) – 2cdot(x + 2)]
    = (x^2 + y^2 – 5 + 2x + 4)cdot(x^2 + y^2 – 5 – 2x – 4)
    = [x^2 + y^2 + 2x + (- 5 + 4)]cdot[x^2 + y^2 – 2x + (- 5 – 4)]
    = (x^2 + y^2 + 2x – 1)cdot(x^2 + y^2 – 2x – 9)
    Giải đáp:
    = (x^2 + y^2 + 2x – 1)cdot(x^2 + y^2 – 2x – 9)
    Giải thích:
    Áp dụng HĐT A^2 – B^2 = (A + B)cdot(A – B) với A = x^2 + y^2 – 5 và B = 2cdot(x + 2) để rút gọn.

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

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