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

Toán Lớp 8: Cho các đa thức P(x)=x-2x^2+3x^5+x^4+x Q(x)=3-2x-2x^2+x^4-3x^5-x^4+4x^2 Tính P(x)+Q(x) và P(x)-Q(x)

Toán Lớp 8: Cho các đa thức
P(x)=x-2x^2+3x^5+x^4+x
Q(x)=3-2x-2x^2+x^4-3x^5-x^4+4x^2
Tính P(x)+Q(x) và P(x)-Q(x)

Comments ( 2 )

  1. Giải đáp:
    Ta có:
    P (x) = x – 2x^2 + 3x^5 + x^4 + x
    = 2x – 2x^2 + 3x^5 + x^4
    Q (x) = 3 – 2x – 2x^2 + x^4 – 3x^5 – x^4 + 4x^2
    = 3 – 2x + (-2^2 + 4x^2) – 3x^5 + (x^4 – x^4)
     = 3 – 2x + 2x^2 – 3x^5
     ⇒ P (x) + Q (x) = (2x – 2x^2 + 3x^5 + x^4) + (3 – 2x + 2x^2 – 3x^5)
    = 2x – 2x^2 + 3x^5 + x^4 + 3 – 2x + 2x^2 – 3x^5
    = (2x – 2x) + (3x^5 – 3x^5) + (- 2x^2 + 2x^2) + x^4 + 3
    = x^4 + 3
    P (x) – Q(x) = (2x – 2x^2 + 3x^5 + x^4) – (3 – 2x + 2x^2 – 3x^5)
    = 2x – 2x^2 + 3x^5 + x^4 – 3 + 2x – 2x^2 + 3x^5
    = (2x + 2x) + (-2x^2 – 2x^2) + (3x^5 + 3x^5) + x^4 – 3
    = 4x – 4x^2 + 6x^5 + x^4 – 3
    = 6x^5 + x^4 – 4x^2 + 4x – 3

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