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

Toán Lớp 8: Rút gọn phân thức sau: a) 2(x-y)/3(y-x) b) 5x^2y/10x^3y^2 c) (2x+3)^2-x^2/x^2-1 Giúp emmmmm vs aaaaaa!!!!!

Toán Lớp 8: Rút gọn phân thức sau:
a) 2(x-y)/3(y-x)
b) 5x^2y/10x^3y^2
c) (2x+3)^2-x^2/x^2-1
Giúp emmmmm vs aaaaaa!!!!!

Comments ( 2 )

  1. Giải đáp $*$ Lời giải và giải thích chi tiết:
     a)(2(x-y))/(3(y-x))
    =(2(x-y))/(-3(x-y))
    =-2/3
     b)(5x^2y)/(10x^3y^2)
    =(5x^2y)/(5x^2y . 2xy)
    =1/(2xy)
     c)((2x+3)^2 -x^2)/(x^2 -1)
    =((2x+3 -x)(2x+3+x))/((x-1)(x+1))
    =((x+3)(3x+3))/((x-1)(x+1))
    =(3(x+3)(x+1))/((x-1)(x+1))
    =(3(x+3))/(x-1)
    =(3x+9)/(x-1)

  2. a) [2(x – y)]/[3(y – x)]
    = [2(x – y)]/[-3(x – y)]
    = -2/3
    b) (5x^{2}y)/(10x^{3}y^{2})
    = 1/(2xy)
    c) [(2x + 3)^{2} – x^{2}]/(x^{2} – 1)
    = [(2x + 3 – x)(2x + 3 + x)]/[(x – 1)(x + 1)]
    = [3(x + 3)(x + 1)]/[(x – 1)(x + 1)]
    = (3x + 9)/(x – 1)
     

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

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