A=x2+y2=x2+2xy+y2-2xy
=(x+y)2-2xy
=32-2.(-2)
=9+4
=13
B= x^3 + y^3
=x3+3x2y+3xy2+y3-3x2y-3xy2
=(x+y)3-3xy.(x+y)
=33-3.(-2).3
=27+18
=45
C= x^4 +y^4
=x4+2x2y2+y4-2x2y2
=(x2+y2)2-2.(xy)2
=132-2.(-2)2
=169-8
=161
D= x^6+ y^6
=x6+2x3y3+y6-2x3y3
=(x3+y3)2-2.(xy)3
=452-2.(-2)3
=2041