Question

Jika A = (x+y+3)^2 dan B = (x-y-1)^2, tentukan A - B / (x+1)(y+1)

Answer 1

A = (x + y + 3)^2
= x^2 + y^2 + 9 + 6x + 6y + 2xy

B = (x - y- 1)^2
= x^2 + y^2 + 1 - 2x + 2y - 2xy

A - B = 8x + 4y + 4xy + 8
= 8 (x + 1) + 4y(1 + x)
= (x + 1) (4y + 8)

(x + 1) (4y + 8) / (x + 1) (y + 1)
= (4y + 8) / (y + 1)