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

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

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

Comments ( 2 )

  1. B=a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2)
    B=ab(b-a)+c^2(b-a)-c(a+b)(b-a)
    B=(b-a)(ab+c^2-ac-bc)
    B=(b-a)[a(b-c)-c(b-c)]
    B=(b-a)(b-c)(a-c)

  2. Giải đáp:
    b)B=(b-a)(b-c)(a-c)
    Lời giải và giải thích chi tiết:
    b)B=a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2)
    =ab^2-ac^2+bc^2-a^2b+c(a+b)(a-b)
    =(ab^2-a^2b)+(bc^2-ac^2)-c(a+b)(b-a)
    =ab(b-a)+c^2(b-a)-c(a+b)(b-a)
    =(b-a)[ab+c^2-c(a+b)]
    =(b-a)(ab+c^2-ac-bc)
    =(b-a)[(ab-ac)-(bc-c^2)]
    =(b-a)[a(b-c)-c(b-c)]
    =(b-a)(b-c)(a-c)

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