Matematika

Pertanyaan

tolong ane gan

diketahui (f-g) (x) = x³+3x³-8x

tentukan f(x) jika 9 (x) = x+1

1 Jawaban

  • x³ + 3x³ - 8x
    = (x+1)³ + 3(x+1)³ - 8(x+1)
    = (x+1)³ + (3x+3)³ - (8x+8)

    *) (x+1) (x+1) (x+1)
    = x^2 + x + x + 1 (x+1)
    = x^2 + 2x + 1 (x+1)
    = x^3 + x^2 + 2x^2 + 2x + x + 1
    = x^3 + 3x^2 + 3x + 1

    *) (3x+3) (3x+3) (3x+3)
    = 9x^2 + 9x + 9x + 9 (3x+3)
    = 9x^2 + 18x + 9 (3x+3)
    = 27x^3 + 27x^2 + 54x^2 + 54x + 27x + 27
    = 27x^3 + 81x^2 + 81x + 27
    = x^3 + 3x^2 + 3x + 1

    makaaa....
    = x^3 + 3x^2 + 3x + 1 + x^3 + 3x^2 + 3x + 1 - (8x + 8)
    = 2x^3 + 6x^2 + 6x + 2 - 8x - 8
    = 2x^3 + 6x^2 - 2x - 6
    disederhanakan menjadi
    x^3 + 3x^2 - x - 3

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