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

Toán Lớp 8: b. B = a(b2 – c2) + b(c2 – a2) + c(a2 – b2)

Toán Lớp 8: b. B = a(b2 – c2) + b(c2 – a2) + c(a2 – b2)

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
     b) B = a(b² – c²) + b(c² – a²) + c(a² – b²)
            = ab² – ac² + bc² – ba² + ca² – cb²
            = (bc² – ac²) + (ca² – cb²) + (ab² – ba²)
            = (b – a)c² – c(b² – a²) + ab(b – a)
            = (b – a)c² – c(b – a)(b + a) + ab(b – a)
           = (b – a)(c² – bc – ac + ab)
           = (b – a) . { ( c² – bc) – (ac – ab) }
           = (b – a) . { c.(c – b) – a(c – b) }
           = (b – a).(c – b).(c – a)

  2. B = a(b² – c²) + b(c² – a²) + c(a² – b²)
    B = (ab² – cb²) + (ca² – ac²) + (bc² – ba²)
    B = b²(a-c) + ac(a-c) + b(a-c)(a+c)
    B = (a-c)[(b² – bc) + (ab – ac)]
    B = (a-c)(b-c)(c-a)

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

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