Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

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

Toán Lớp 8: x+6/x^2 – 4 – 2/x(x+2) Giúp mik vs trừ 2 phân số này nha

Toán Lớp 8: x+6/x^2 – 4 – 2/x(x+2)
Giúp mik vs trừ 2 phân số này nha

Comments ( 2 )

  1. (x+6)/(x^2-4)-2/(x(x+2))
    =(x+6)/((x-2)(x+2))-2/(x(x+2))
    =(x(x+6))/(x(x-2)(x+2))-(2(x-2))/(x(x-2)(x+2))
    =(x^2+6x)/(x(x-2)(x+2))-(2x-4)/(x(x-2)(x+2))
    =(x^2+6x-2x+4)/(x(x-2)(x+2))
    =(x^2+4x+4)/(x(x-2)(x+2))
    =((x+2)^2)/(x(x-2)(x+2))
    =(x+2)/(x(x-2))

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    $\frac{x + 6}{x² – 4}$ – $\frac{2}{x(x + 2)}$ 
    = $\frac{x + 6}{(x – 2)(x + 2)}$ – $\frac{2}{x(x + 2)}$ 
    = $\frac{(x + 6)x}{x(x – 2)(x + 2)}$ – $\frac{2(x – 2)}{x(x + 2)(x – 2)}$ 
    = $\frac{x² + 6x}{x(x – 2)(x + 2)}$ – $\frac{2x – 4}{x(x + 2)(x – 2)}$ 
    = $\frac{x² + 6x – 2x + 4}{x(x – 2)(x + 2)}$
    = $\frac{x² + 4x + 4}{x(x – 2)(x + 2)}$
    = $\frac{(x + 2)²}{x(x – 2)(x + 2)}$
    = $\frac{x + 2}{x(x – 2)}$

Leave a reply

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

About Chi Mai