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

Toán Lớp 8: nhanh lên nhé chậm nhất 4 phút Đề :a)x+1/x-5 – 1-x/x+5 -2x(1-x)/25-x^2 b) 1/x+3 – 1/x-3 – 2x/x^2-9

Toán Lớp 8: nhanh lên nhé chậm nhất 4 phút
Đề :a)x+1/x-5 – 1-x/x+5 -2x(1-x)/25-x^2
b) 1/x+3 – 1/x-3 – 2x/x^2-9

Comments ( 2 )

  1. $a$) {x+1}/{x-5} – {1-x}/{x+5} -{2x(1-x)}/{25-x^2}  ($ĐKXĐ: x \neq ±5$) 
    = {(x+1)(x+5)}/{(x-5)(x+5)} – {(1-x)(x-5)}/{(x-5)(x+5)} – {2x(1-x)}/{(5+x)(5-x)}
    = {x^2 + 6x + 5 – (-x^2 + 6x-5)}/{(x-5)(x+5)} + {2x(1-x)}/{(x+5)(x-5)}
    = {x^2 + 6x + 5 +x^2 – 6x + 5 + 2x – 2x^2}/{(x+5)(x-5)}
    = {2x+10}/{(x+5)(x-5)}
    = 2/{x-5}.
    $b$) 1/{x+3} – 1/{x-3} – {2x}/{x^2-9} ($ĐKXĐ: x \neq ±3$)
    = {x-3}/{(x+3)(x-3) – {x+3}/{(x-3)(x+3)} – {2x}/{(x-3)(x+3)}
    = {(x-3)-(x+3)-2x}/{(x-3)(x+3)}
    = {x-3-x-3-2x}/{(x-3)(x+3)}
    = {-2x-6}/{(x-3)(x+3)}
    = -2/{x-3}.
     

  2. Giải đáp+Lời giải và giải thích chi tiết:
     

    toan-lop-8-nhanh-len-nhe-cham-nhat-4-phut-de-a-1-5-1-5-2-1-25-2-b-1-3-1-3-2-2-9

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

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