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

Toán Lớp 8: Phân tích đa thức thành nhân tử: `a) x^4 + 3x^3 + x + 3` `b) 64 – x^2 – y^2 + 2xy`

Toán Lớp 8: Phân tích đa thức thành nhân tử:
a) x^4 + 3x^3 + x + 3
b) 64 – x^2 – y^2 + 2xy

Comments ( 2 )

  1. a, x^4 + 3x^3 + x + 3
    = x^3 ( x+3) + (x+3)
    =(x+3)(x^3 + 1)
    = (x+3)(x+1)(x^2 + x +1)
    b, 64 – x^2 – y^2 + 2xy
    = 64 – (x^2 – 2xy + y^2 )
    = 8^2 – (x-y)^2
    = (8+x-y)(8 – x+y)
     

  2. a) x^4 + 3x^3 + x + 3
    = x^3 ( x + 3 ) + ( x + 3 )
    = ( x + 3 ) ( x^3 + 1 )
    = ( x + 3 ) ( x + 1 ) ( x^2 – x + 1 )
    b) 64 – x^2 – y^2 + 2xy
    = 8^2 – ( x^2 – 2xy + y^2 )
    = 8^2 – ( x – y )^2
    = [ 8 – ( x – y ) ] [ 8 + ( x – y ) ]
    = ( 8 – x + y )( 8 + x – y )  
     

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