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

Toán Lớp 8: Thực hiện phép tính: $a)$ $(x^{3}-$ $3x^{2}+x-3):(x-3)$ $b)$ $(x-y-z)^{5}$ $:(x-y-z)^{5}$ $c)$ $(2x^{3}+$ $5x^{2}-2x+3):($ $2x^{2}-x

Toán Lớp 8: Thực hiện phép tính:
$a)$ $(x^{3}-$ $3x^{2}+x-3):(x-3)$
$b)$ $(x-y-z)^{5}$ $:(x-y-z)^{5}$
$c)$ $(2x^{3}+$ $5x^{2}-2x+3):($ $2x^{2}-x+1)$

Comments ( 1 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a) (x^3 – 3x^2 + x – 3) : (x-3)
    = (x^3 + x – 3x^2 – 3) : (x-3)
    = [x(x^2 + 1) – 3(x^2 + 1)] : (x-3)
    = (x-3)(x^2 + 1) : (x-3)
    = x^2 + 1
    b) (x-y-z)^5 : (x-y-z)^5
    = 1
    c) (2x^3 + 5x^2 – 2x + 3) : (2x^2 – x + 1)
    = (2x^3 – x^2 + x + 6x^2 – 3x + 3) : (2x^2 – x + 1)
    = [x(2x^2 – x + 1) + 3(2x^2 – x + 1)] : (2x^2 – x + 1)
    = (x+3)(2x^2 – x + 1) : (2x^2 – x + 1)
    = (x+3)

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