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

Toán Lớp 8: rút gon biểu thức :(2x+7y)^2-(2x+7y)(3x+8y)+(3x+8y)^2 :(x+y-z)^2+(z-y)^2+2(x+y-z)(z-y) giúp vs sắp nộp

Toán Lớp 8: rút gon biểu thức :(2x+7y)^2-(2x+7y)(3x+8y)+(3x+8y)^2
:(x+y-z)^2+(z-y)^2+2(x+y-z)(z-y)
giúp vs sắp nộp r

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    (x + y – z)² + (z – y)² + 2(x + y – z)(z – y)
    = [(x + y – z) + (z – y)]²
    = (x + y – z + z – y)²
    = x²
    (2x + 7y)² – (2x + 7y)(3x + 8y) + (3x + 8y)²
    = 4x² + 28xy + 49y² – (6x² + 21xy + 16xy + 56y²) + 9x² + 48xy + 64y²
    = 4x² + 28xy + 49y² – 6x² – 21xy – 16xy – 56y² + 9x² + 48xy + 64y²
    = 7x² + 39xy + 57y²

  2. (x + y – z)² + (z – y)² + 2(x + y – z)(z – y)
    = [(x + y – z) + (z – y)
    = (x + y – z + z – y)²
    = x²
    (2x + 7y)² – (2x + 7y)(3x + 8y) + (3x + 8y)²
    = 4x² + 28xy + 49y² – (6x² + 21xy + 16xy + 56y²) + 9x² + 48xy + 64y²
    = 4x² + 28xy + 49y² – 6x² – 21xy – 16xy – 56y² + 9x² + 48xy + 64y²
    = 7x² + 39xy + 57y²

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