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

Toán Lớp 8: Tính B=(x+y/2x-2y-x-y/2x+2y-2y^2/y^2-x^2):2y/x-y

Tháng Tư 29, 2022 Toán học 1 Comment 0 views

Toán Lớp 8: Tính
B=(x+y/2x-2y-x-y/2x+2y-2y^2/y^2-x^2):2y/x-y

Comments ( 1 )

  1. bichhhathu
    bichhhathu
    29 Tháng Tư, 2022 at 8:25 chiều
    Reply
    Giải đáp:
    ĐK : x \ne +-y.
    B=((x+y)/(2x-2y)-(x-y)/(2x+2y)-(2y^2)/(y^(2)-x^2)):(2y)/(x-y)
    =((x+y)/[2(x-y)]-(x-y)/[2(x+y)]+(2y^2)/[(x-y)(x+y)]):(2y)/(x-y)
    =([(x+y)(x+y)]/[2(x-y)(x+y)]-[(x-y)(x-y)]/[2(x-y)(x+y)]+(2y^(2).2)/[2(x-y)(x+y)]):(2y)/(x-y)
    =((x^(2)+2xy+y^(2)-x^(2)+2xy-y^(2)+4y^2)/[2(x+y)(x-y)]):(2y)/(x-y)
    =((4y^(2)+4xy)/[2(x+y)(x-y)]):(2y)/(x-y)
    =([4y(y+x)]/[2(x+y)(x-y)]):(2y)/(x-y)
    =(4y)/(2(x-y)):(2y)/(x-y)
    =(4y(x-y))/((x-y)4y)
    =1

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

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