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

Toán Lớp 8: Bài 2:Thực hiện phép tính: a) ( 2x + 3y)2 b) ( 5x – y)2 ; c). (2x -3y)(2x- 3y) d) (2x + 3y)3 e) (3x – 2y)3 ; g)( x+4) ( x2 – 4x

Toán Lớp 8: Bài 2:Thực hiện phép tính: a) ( 2x + 3y)2 b) ( 5x – y)2 ; c). (2x -3y)(2x- 3y)
d) (2x + 3y)3 e) (3x – 2y)3 ; g)( x+4) ( x2 – 4x + 16) ; h) (x + 3)(x2 -3x +9) – (x -2)(x2 + 1) ;
k) (x + 1)3 – (x – 1)(x2 + x + 1) – 3x(x + 1)

Comments ( 1 )

  1. Lời giải và giải thích chi tiết:
    a)(2x+3y)^2
    =(2x)^2 +2.2x.3y+(3y)^2
    =4x^2 +12xy+9y^2
    b) (5x-y)^2
    =(5x)^2 -2.5xy+y^2
    =25x^2 -10xy+y^2
    c) (2x-3y)(2x-3y)
    =(2x-3y)^2
    =(2x)^2 -2.2x.3y+(3y)^2
    =4x^2 -12xy+9y^2
    d) (2x+3y)^3
    =(2x)^3 +3.(2x)^2 .3y+3.2x.(3y)^2 +(3y)^3
    =8x^3 +3.4x^2 .3y+3.2x.9y^2 +27y^3
    =8x^3 +36x^2 y +54xy^2 +27y^3
    e) (3x-2y)^3
    =(3x)^3 -3.(3x)^2 .2y+3.3x.(2y)^2 -(2y)^3
    =27x^3 -3.9x^2 .2y+3.3x.4y^2 -8y^3
    =27x^3 -54x^2 y+36xy^2 -8y^3
    g) (x+4)(x^2 -4x+16)
    =x(x^2 -4x+16)+4(x^2 -4x+16)
    =x^3 -4x^2 +16x+4x^2 -16x+64
    =x^3 +64
    h) (x+3)(x^2 -3x+9)-(x-2)(x^2 +1)
    =x^3 +27 -(x^3 +x-2x^2 -2)
    =x^3 +27 -x^3 -x+2x^2 +2
    =2x^2 -x+29
    k) (x+1)^3 -(x-1)(x^2 +x+1)-3x(x+1)
    =x^3 +3x^2 +3x+1-(x^3 -1)-3x^2 -3x
    =x^3 +1-x^3 +1
    =2

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