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

Toán Lớp 8: Thực hiện phép nhân sau: (A+B) (A-B)= (A+B)³= (A+B) (A² – AB + B²)= (A-B) (A² – AB + B²)=

Toán Lớp 8: Thực hiện phép nhân sau:
(A+B) (A-B)=
(A+B)³=
(A+B) (A² – AB + B²)=
(A-B) (A² – AB + B²)=

Comments ( 2 )

  1. *(A+B) (A-B)
    =A²-AB+AB-B²
    =A²-B²
    *(A+B)³
    =(A+B)(A+B)(A+B)
    =(A²+AB+AB+B²)(A+B)
    =A³+A²B+A²B+AB²+A²B+AB²+AB²+B³
    =A³+3A²B+3AB²+B³
    *(A+B) (A² – AB + B²)
    =A³-A²B+AB²+A²B-AB²+B³
    =A³+B³
    *(A-B) (A² + AB + B²)
    =A³+A²B+AB²-A²B-AB²-B³
    =A³-B³
     

  2. ~ Bạn tham khảo ~
    (A+B)(A-B)
    =A(A-B)+B(A-B)
    = A^2-AB+AB-B^2
    = A^2-B^2
    (A+B)^3
    = (A+B)(A+B)(A+B)
    = (A^2+2AB+B^2)(A+B)
    = A(A^2+2AB+B^2)+B(A^2+2AB+B^2)
    = A^3+2A^2B+AB^2+A^2B+2AB^2+B^3
    = A^3+3A^2B+3AB^2+B^3
    (A+B) (A^2- AB + B^2)
    = A(A^2-AB+B^2)+B(A^2-AB+B^2)
    = A^3-A^2B+AB^2+A^2B-AB^2+B^3
    = A^3+B^3
    (A-B) (A^2 – AB + B^2)
    = A(A^2-AB+B^2)-B(A^2-AB+B^2)
    = A^3-A^2B+AB^2-A^2B+AB^2-B^3
    = A^3-2A^2B+2AB^2-B^3

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

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