Question

If x-y= 2 and xy= 15 ,find x^2 +y^2 and x^3 +y^3​

Answer 1

Given: x-y= 2,xy=15

So,

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

= 2^2 + 2×15

= 4 + 30

= 34

Now,

x^3 + y^3 = (x+y) (x^2-xy +y^2)

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

= 2×(34-15)

= 2×19

= 38

Answer 2

Answer:

34 and 152

Step-by-step explanation:

x-y=2

y=x-2

xy=15

X(x-2)=15

on solving,

X=5

y=3