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

Toán Lớp 8: cho x=99 tính x^5-100x^4+100x^3-100x^2+100x-9

Toán Lớp 8: cho x=99
tính x^5-100x^4+100x^3-100x^2+100x-9

Comments ( 2 )

  1. Lời giải và giải thích chi tiết:
    • x=99
    ↔️x+1=99+1
    ↔️x+1=100
    Thay x+1=100 vào ta có : 
    x^5-100x^4+100x^3-100x^2+100x-9
    =x^5-(x+1)x^4+(x+1)x^3-(x+1)x^2+(x+1)x-9
    =x^5-x^5-x^4+x^4+x^3-x^3-x^2+x^2+x-9
    =x-9
    =99-9
    =90

  2. Giải
    Vì x=99
    ⇒ x+1 = 100
    Ta có: x^5 – 100x^4 + 100x^3 – 100x^2 + 100x – 9
    = x^5 – (x+1)x^4 + (x+1)x^3 – (x+1)x^2 + (x+1)x – 9
    = x^5 – x^5 – x^4 + x^4 + x^3 – x^3 – x^2 + x^2 + x – 9
    = (x^5 – x^5) + (x^4 – x^4) + (x^3 – x^3) + (x^2 – x^2) + x – 9
    = x-9 = 99 – 9 = 90

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