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

Toán Lớp 8: Rút gọn: (a-b)(a+b)b(c-a) + (a-c)(a+c)c(a-b)

Tháng Mười Hai 12, 2022 Toán học 2 Comments 0 views

Toán Lớp 8: Rút gọn:
 (a-b)(a+b)b(c-a) + (a-c)(a+c)c(a-b)

Comments ( 2 )

  1. tonhitruc
    tonhitruc
    12 Tháng Mười Hai, 2022 at 8:51 chiều
    Reply
    Giải đáp:
     (a – b)(a + b) b(c -a) + (a -c)(a + c)c(a – b)
    = (a^2 – b^2)(bc – ab) + (a^2 – c^2)(ac – bc)
    = a^2 .bc + a^2 .(-ab) + (-b^2).bc + (-b^2).(-ab) + a^2 .ac + a^2 . (-bc) + (-c^2).ac + (-c^2).(-bc)
    = a^2 bc – a^3 b – b^3 c + ab^3 + a^3 c – a^2 bc – ac^3 + bc^3
    = (a^2 bc – a^2 bc) – a^3 b + ab^3 – b^3 c + bc^3 + a^3 c – ac^3
    = – a^3 b + ab^3 – b^3 c + bc^3 + a^3 c – ac^3
     (a – b)(a + b) b(c -a) + (a -c)(a + c)c(a – b)
    = (a – b)(a + b)(c – a)b – (c – a)(a + c)(a – b)c
    = (a – b)(c – a)[(a + b)b – (a + c)c]
    = (a – b)(c – a)(ab + b^2 – ac – c^2)
    = (a – b)(c – a)[(ab – ac) + (b^2 – c^2)]
    = (a -b)(c – a)[a(b – c) + (b – c)(b + c)]
    = (a – b)(c – a)(b – c)(a + b + c)
    Học tốt

  2. huyenmi76
    huyenmi76
    12 Tháng Mười Hai, 2022 at 8:50 chiều
    Reply
    (a – b)(a + b)b(c – a) + (a – c)(a + c)c(a – b)
    = -(a – b)(a – c)b(a + b) + (a – c)(a + c)c(a – b)
    = (a – b)(a – c)[-b(a + b) + c(a + c)]
    = (a – b)(a – c)( -ab – b^2 + ac + c^2)
    = (a – b)(a – c)(c^2 – b^2 + ac – ab)
    = (a – b)(a – c)[(c – b)(c + b) + a(c – b)]
    = (a – b)(a – c)(c – b)(a + b + c)

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

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