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

Toán Lớp 8: $\frac{3}{3y+3}$ + $\frac{10}{5-5y}$ + $\frac{5y-1}{y^2-1}$

Toán Lớp 8: $\frac{3}{3y+3}$ + $\frac{10}{5-5y}$ + $\frac{5y-1}{y^2-1}$

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    3/(3y + 3) + (10)/(5-5y) + (5y-1)/(y^2-1) với y \ne +-1
    = 3/(3(y+1)) – (10)/(5(y-1)) + (5y-1)/((y+1)(y-1))
    = (15(y-1))/(15(y+1)(y-1)) – (30 . (y+1))/(15(y+1)(y-1)) + (15(5y-1))/(15((y+1)(y-1)
    = (15y – 15 – 30y – 30 + 75y – 15)/(15((y+1)(y-1)
    =(60y – 60)/(15((y+1)(y-1)
    = (60(y – 1))/(15((y+1)(y-1)
    = 4/(y+1)

  2. 3/(3y+3)+10/(5-5y)+(5y-1)/(y^2-1)        đk:y ne +-1 
    =3/(3(y+1))-10/(5(y-1))+(5y-1)/((y+1)(y-1))
    =1/(y+1)-2/(y-1)+(5y-1)/((y+1)(y-1))
    =(y-1)/((y+1)(y-1))-(2(y+1))/((y+1)(y-1))+(5y-1)/((y+1)(y-1))
    =(y-1-2y-2+5y-1)/((y+1)(y-1))
    =(4y-4)/((y+1)(y-1))
    =(4(y-1))/((y+1)(y-1))
    =4/(y+1) 

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

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