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

Toán Lớp 8: Tính: 1/x(x+y) + 1/y(x+y) + 1/x(x-y) + 1/y(y-x)

Toán Lớp 8: Tính: 1/x(x+y) + 1/y(x+y) + 1/x(x-y) + 1/y(y-x)

Comments ( 2 )

  1. 1/(x(x + y)) + 1/(y(x + y)) + 1/(x(x – y)) + 1/(y(y – x))
    = y/(xy(x + y)) + x/(xy(x + y)) + 1/(x(x – y)) + 1/(y(y – x))
    = (x + y)/(xy(x + y)) + y/(yx(x – y)) – x/(xy(x – y))
    = 1/(xy) – (x – y)/(xy(x – y))
    = 1/(xy) – 1/(xy) 
    = 0

  2. Giải đáp+Lời giải và giải thích chi tiết:
    1/(x(x+y)) + 1/(y(x+y)) + 1/(x(x-y)) + 1/(y(y-x))
    =y/(xy(x + y)) + x/(xy(x + y)) + 1/(x(x-y)) + 1/(y(y-x))
    =y/(xy(x + y)) + x/(xy(x + y)) + 1/(x(x-y)) – 1/(y(x-y))
    = (y+x)/(xy(x + y))+ y/(yx(x – y)) – x/(xy(x – y))
    = 1/(xy)+ (y-x)/(xy(x – y))
    = 1/(xy)- ( x- y)/(xy(x – y))
    = 1/(xy) – 1/(xy) 
    = 0
    Xin hay nhất

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

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