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

Toán Lớp 8: Rút gọn B=n^4-n^3+2n^2-n+1 / n^4+n^3+2n^2+n+1

Toán Lớp 8: Rút gọn
B=n^4-n^3+2n^2-n+1 / n^4+n^3+2n^2+n+1

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    B = (n^4-n^3+2n^2-n+1)/(n^4+n^3+2n^2+n+1)
    = (n^4-n^3+n^2+n^2-n+1)/(n^4+n^3+n^2+n^2+n+1)
    = (n^2(n^2-n+1)+n^2-n+1)/(n^2(n^2+1)+n(n^2+1)+n^2+1)
    = ((n^2-n+1)(n^2+1))/((n^2+1)(n^2+n+1))
    = (n^2-n+1)/(n^2+n+1)

  2. $\dfrac{n^4-n^3+2n^2-n+1}{n^4+n^3+2n^2+n+1}$
    $=\dfrac{n^4-n^3+n^2+n^2-n+1}{n^4+n^3+n^2+n^2+n+1}$
    $=\dfrac{n^2(n^2-n+1)+(n^2-n+1)}{n^2(n^2+n+1)+(n^2+n+1)}$
    $=\dfrac{(n^2+1)(n^2-n+1)}{(n^2+1)(n^2+n+1)}$
    $=\dfrac{n^2-n+1}{n^2+n+1}$
    Chúc bạn học tốt !!!!!

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