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

Toán Lớp 8: phân tích đa thức thành nt $(2xy+1)^2 – (2x+y)^2$

Toán Lớp 8: phân tích đa thức thành nt
$(2xy+1)^2 – (2x+y)^2$

Comments ( 2 )

  1. (2xy+1)^2-(2x+y)^2
    =(2xy+1-2x-y)(2xy+1+2x+y)
    =[(2xy-2x)+(1-y)][(2xy+2x)+(1+y)]
    =[2x(y-1)-(y-1)][(2x(y+1)+(y+1)]
    =(y-1)(2x-1)(y+1)(2x+1)
    CT: x^2-y^2=(x-y)(x+y)
     

  2. $\\$
    (2xy +1)^2 – (2x+y)^2
    = [(2xy+1)-(2x+y)][(2xy+1)+(2x+y)]
    = (2xy + 1 – 2x – y)(2xy +1+2x+y)
    = [(2xy – 2x) + (1-y)][(2xy + 2x)+(y+1)]
    = [2x (y-1) – (y-1)] [2x (y+1)+(y+1)]
    = (y-1)(2x-1) (y+1)(2x+1)

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