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

Toán Lớp 8: Rút gọn: `(x^2 + 2xy + y – 1)/(x^2 + 2x + 1 – y^2)`

Tháng Ba 23, 2023 Toán học 2 Comments 0 views

Toán Lớp 8: Rút gọn: (x^2 + 2xy + y – 1)/(x^2 + 2x + 1 – y^2)

Comments ( 2 )

  1. huenthanh97
    huenthanh97
    23 Tháng Ba, 2023 at 9:25 sáng
    Reply
    $\dfrac{x^2+2xy+y^2-1}{x^2+2x+1-y^2}$
    $=\dfrac{(x+y)^2-1^2}{(x+1)-y^2}$
    $=\dfrac{(x+y-1)(x+y+1)}{(x+1-y)(x+1+y)}$
    Có $(x+y+1)$ chung
    $=\dfrac{x+y-1}{x+1-y}$
    $#thanhmaii2008$
     

  2. diepbich93
    diepbich93
    23 Tháng Ba, 2023 at 9:25 sáng
    Reply
    $\text{ @HV }$
    $\dfrac{x^2 + 2xy + y^2 – 1 }{x^2 + 2x + 1 – y^2}$
    = $\dfrac{(x + y)^2 – 1^2}{(x + 1)^2 – y^2}$
    = $\dfrac{(x + y – 1).(x + y + 1)}{(x + 1 – y).(x + 1 + y)}$
    = $\dfrac{x + y – 1}{x + 1 – y}$
    = $\dfrac{x + y – 1}{x – y + 1}$
     

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

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