Question

Opersi pecahan aljabar
Soalny iniii
X²+xy-12y²/x²-16y²

Answer 1

x² + xy - 12y² / x² - 16y²
= (x + 4y)(x - 3y) / (x + 4y)(x - 4y)
= (x - 3y) / (x - 4y)

Answer 2

Faktorkan dulu pembilang dn pnybut

x² + xy - 12y²
= x² - 3xy + 4xy - 12y²
= x(x - 3y) + 4y(x - 3y)
= (x - 3y)(x + 4y)

x² - 16y²
= (x + 4y)(x - 4y) selisih 2 kuadrat

(x - 3y)(x + 4y)/(x + 4y)(x - 4y)
coret (x + 4y)
= (x - 3y)/(x - 4y)