Վարժություն 459.

ա) 1/2x-2 + 1/3x-3 = 3+2/6(x-1) = 5/6(x-1)

բ) a/ax-bx – b/ay-by = ay-bx/xy(a-b)

գ) (x-y)²/2x + y = (x-y)² + 2xy/2x = x² – 2xy + y² + 2xy / 2x = x² + y²/2x

դ) (a² – 1/b²) : (a – 1/b) = a²b² – 1/b² : ab-1/b = a²b²-1/b² * b/ab-1 = (ab-1)(ab+1)/b * ab-1 = ab+1/b

ե) (4x²-1/9b²) : (2x-1/3b) = 4x²9b²-1/9b² : 2x3b-1/3b = 4x²9b²-1/3b*3b/2x3b-1=2x3b-1/3b