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

Toán Lớp 8: Thưc hiện phép tính a) (5x-2y)(x^2 – xy + 1 ) b) (x-1)(x+1)(x+2) c) 1/2 x^2 y^2 (2x+y)(2x-y) Chứng minh (x-1)(x^2 + x + 1) = x^3 – 1 (x

Toán Lớp 8: Thưc hiện phép tính
a) (5x-2y)(x^2 – xy + 1 )
b) (x-1)(x+1)(x+2)
c) 1/2 x^2 y^2 (2x+y)(2x-y)
Chứng minh
(x-1)(x^2 + x + 1) = x^3 – 1
(x^3 +x^2 y + xy^2 +y^3 )(x-y) = x^4 -y^4

Comments ( 2 )

  1. Bài 1:
    a)
    (5x-2y)(x^2 – xy+1)
    = 5x^3 – 5x^2y + 5x – 2x^2y + 2xy^2 – 2y
    = 5x^3 – 7x^2y + 5x – 2y + 2xy^2
    b)
    (x-1)(x+1)(x+2)
    = (x^2 – 1)(x+2)
    = x^3 + 2x^2 – x – 2
    c)
    1/2 x^2y^2 (2x+y)(2x-y)
    = 1/2 x^2y^2 [ (2x)^2 – y^2]
    = 1/2 x^2y^2 (4x^2 – y^2)
    = 2x^4y^2 – 1/2x^2y^4
    Bài 2:
    Ta có :
    (x-1)(x^2 + x+1)
    = x^3 + x^2 + x – x^2 – x – 1
    = x^3 – 1
    Vậy (x-1)(x^2+x+1) = x^3-1
    (x^3 + x^2y + xy^2 + y^3) (x-y)
    = x^4 + x^3y + x^2y^2 + xy^3 – x^3y  – x^2y^2 – xy^3 – y^4
    = x^4 – y^4
    Vậy (x^3 + x^2y + xy^2 + y^3) (x-y)  = x^4 – y^4
     

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

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