Matematika

Pertanyaan

C sampai E..................
C sampai E..................

2 Jawaban

  • jawabannya lihat di lampiran ya

    semoga jelas dan membantu ya (Gbu)
    Gambar lampiran jawaban jpallo
    Gambar lampiran jawaban jpallo
  • c) (a^-1 + a^-2 + a^0) / (a^-4 + a^-3 + a^-2)
    = (a^-2 + a^-1 + a^0) / (a^-4 + a^-3 + a^-2)
    = (a^-2 . 1 + a^-2 . a + a^-2 . a^2) / (a^-4 . 1 + a^-4 . a + a^-4 . a^2)
    = a^-2 (1 + a + a^2) / a^-4 (1 + a + a^2)
    = a^-2 / a^-4
    = a^(-2 - (-4))
    = a^2

    d) (ab^-1 - a^-1b)/(b^-1 - a^-1)
    = (a/b - b/a) / (1/b - 1/a)
    = ((a^2 - b^2)/ab) / ((a - b)/ab)
    = (a^2 - b^2) / (a - b)
    = (a + b)(a - b) / (a - b)
    = (a + b)

    e) (ab^-1 - a^-1b)/(b^-1 + a^-1)
    = (a/b - b/a) / (1/b + 1/a)
    = ((a^2 - b^2)/ab) / ((a + b)/ab)
    = (a^2 - b^2) / (a + b)
    = (a + b)(a - b) / (a + b)
    = (a - b)