X y = √ 3+√ 2 √ 3-√ 2 =1
∴ ① X? -xy+y? =﹙x+y﹚? -3xy=﹙2√3﹚? -3× 1=9;
② x? y+xy? =xy﹙x? +y? ﹚=xy[﹙x+y﹚? -2xy]
= 1×[﹙2√3﹚? -2× 1]
= 10.