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

Toán Lớp 8: RÚT GỌN rút gọn 2x^2+5x+2 / 2x ^2-3x-2 x^4+4 / 3x^ 2+6x+6

Toán Lớp 8: RÚT GỌN
rút gọn
2x^2+5x+2 / 2x ^2-3x-2
x^4+4 / 3x^ 2+6x+6

Comments ( 2 )

  1.  a)$\dfrac{2x²+5x}{2x²-3x-2}$
    =$\dfrac{(x+2)(2x+1)}{(x-2)(2x+1)}$
    =$\dfrac{x+2}{x-2}$
    b)$\dfrac{x^4+4}{3x^2+6x+6}$
    =$\dfrac{ x^4 + 2.x^2.2 + 4 – 4x^2}{3(x^2+2x+2)}$
    =$\dfrac{ (x^2 + 2)^2 – (2x)^2}{3(x^2+2x+2) }$
    =$\dfrac{ (x^2 + 2 – 2x)(x^2 + 2 + 2x}{3(x^2+2x+2)}$
    =$\dfrac{x^2+2-2x}{3}$

  2. Giải đáp + Lời giải và giải thích chi tiết:
    $\frac{2x^2+5x+2}{2x^2-3x-2}=$ $\frac{(2x+1).(x+2)}{(x-2).(2x+1)}=$ $\frac{x+2}{x-2}$
    $\frac{x^4+4}{3x^2+6x+6}$
    $=$ $\frac{(x^4+4x^2+4)-4x^2}{3.(x^2+2x+2)}$
    $=\frac{(x^2+2)^2-(2x)^2}{3.(x^2+2x+2)}$
    $=\frac{(x^2+2x+2).(x^2-2x+2)}{3.(x^2+2x+2)}$
    $=$ $\frac{x^2-2x+2}{3}$
     

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