Matematika

Pertanyaan

Nomor 4 yang A-B dong sama caranya. besok dikumpulin..
Nomor 4 yang A-B dong sama caranya. besok dikumpulin..

2 Jawaban

  • Jawabannya dilampiran yah
    Maaf kalau salah
    Gambar lampiran jawaban eyzaseptriani
  • a) ( x - y )/ (x^-1 + y^-1)
    = (x - y) / ( 1/x + 1/y)
    = (x - y) / { (x + y)/xy }
    = xy (x - y)/(x + y)
    b) (x^-2 - y^-2) / (x^-1 - y^-1)
    = (x^-1)^2 - (y^-1)^2 / (x^-1 - y^-1)
    = (x^-1 + y^-1)(x^-1 - y^-1)/(x^-1 - y^-1)
    = (x^-1 + y^-1)
    = 1/x + 1/y
    c) xy^-1 - x^-1y / x^-1 - y^-1
    = (x/y - y/x) / (1/x - 1/y)
    = { (x^2 - y^2)/xy } / { (y - x)/xy }
    = (x^2 - y^2) / (y - x)
    = (x + y)(x - y) / -(x - y)
    = - (x + y)
    = -x - y