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

Toán Lớp 8: a) (x+3)*(x^2-3x+9)-(54+x^3) b) ( 2xy + y ) * ( 4x^2 – 2xy + y^2 ) – ( 2x – y ) * ( 4x ^2 + 2xy + y^2 ) c ) ( a + b ) ^2 – ( a – b )^2

Toán Lớp 8: a) (x+3)*(x^2-3x+9)-(54+x^3)
b) ( 2xy + y ) * ( 4x^2 – 2xy + y^2 ) – ( 2x – y ) * ( 4x ^2 + 2xy + y^2 )
c ) ( a + b ) ^2 – ( a – b )^2
lm theo hằng đẳng thức

Comments ( 2 )

  1. a).(x+3).(x²-3.x+9)-(54+x³)
    =(x+3)(x²-3.x+3²)-54-x³
    =x³+27-54-x³
    =-27
    b) (2x+y).(4.x²-2xy+y²)-(2x-y).(4.x²+2.x.y+y²)
    =(2x+y)((2x)²-(2x).y+y²)-(2x-y)((2x)²+(2x).y+y²)
    =(2x)³+y³-((2x)³-y³)
    =(2x)³+y³-(2x)³+y³
    =2y³
    c)(a+b)²-(a-b)²
    =a²+2ab+b²-a²+2ab-b²
    =4ab
     

  2. Giải đáp +giải thích các bước giải:
    a) (x+3)(x^2-3x+9)-(54+x^3)
    =(x+3)(x^2-3x+3^2)-(54+x^3)
    =x^3+27-54-x^3
    =-27
    b) (2x+y)(4x^2-2xy+y^2)-(2x-y)(4x^2+2xy+y^2)
    =(2x+y)[(2x)^2-2xy+y^2]-(2x-y)[(2x)^2+2xy+y^2]
    =(2x)^3+y^3-[(2x)^3-y^3]
    =8x^3+y^3-8x^3+y^3
    =2y^3
    c) (a+b)^2-(a-b)^2
    =(a+b+a-b)[a+b-(a-b)]
    =2a(a+b-a+b)
    =2a.2b
    =4ab

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