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

Toán Lớp 8: c) (x² – 9)² – (x + 3)(x − 3)(x² + 9) d) (x² + x – 3)(x² – – x + 3).

Toán Lớp 8: c) (x² – 9)² – (x + 3)(x − 3)(x² + 9)
d) (x² + x – 3)(x² – – x + 3).

Comments ( 2 )

  1. c)
    (x^2 – 9)^2 – (x+3)(x-3)(x^2 + 9)
    =  [ (x^2)^2 – 2 . x^2 . 9  + 9^2] – (x^2 – 3^2)(x^2 + 9)
    = (x^4 – 18x^2 + 81) – (x^2 – 9)(x^2 + 9)
    = x^4 – 18x^2 + 81 – [(x^2)^2 – 9^2]
    = x^4 – 18x^2 + 81 – (x^4 – 81)
    =  x^4 – 18x^2 + 81 – x^2 + 81
    = -18x^2 + 162
    d)
    (x^2 + x – 3)(x^2 – x +3)
    = (x^2 + x-3)[x^2 – (x-3)]
    = (x^2)^2 – (x-3)^2
    = x^4 – (x^2 – 6x + 9)
    =  x^4 – x^2 + 6x – 9
    d)
    (x^2 + x-3)[ x^2 – (-x) + 3]
    =  (x^2 + x-3)(x^2 + x + 3)
    =  (x^2 + x)^2 – 3^2
    = [(x^2)^2 + 2 . x^2 . x + x^2] – 9
    =  x^4 + 2x^3 + x^2 – 9
     

  2. Giải đáp+Lời giải và giải thích chi tiết:
    c)(x^2-9)^2-(x+3)(x-3)(x^2+9)
    =(x^2-9)^2-(x^2-9)(x^2+9)
    =(x^2-9)(x^2-9-x^2-9)
    =-18(x^2-9)
    =-18x^2+162
    d)(x^2+x-3)(x^2-x+3)
    =(x^2+x-3)[x^2-(x-3)]
    =(x^2)^2-(x-3)^2
    =x^4-(x^2-6x+9)
    =x^4-x^2+6x-9

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

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