Вправи: 229

229. Спростіть вираз:

1) 16a2b25xy : 12ab325x2y3 • 3a24y = 16a2b25xy • 25x2y312ab3 • 3a24y = 16a2b2• 25x2y3•3a2 5xy• 12ab3•4y = 20a4b2x2y34ab3xy2 = 5a3xyb;

2) x2+y2+2xy x3- y3 : x2-y2 xy+x2+y2 = x2+y2+2xy x3- y3 • xy+ x2+ y2x2- y2 = (x2+y2+2xy)•(xy+x2+y2) (x3- y3)• (x2- y2) = (x2+2xy+y2)• (x2+ xy+y2) x- y(x2+ xy+ y2)•(x- y)(x+ y) = (x+ y)2(x- y)2(x+ y) = x+ y(x- y)2.