Question

If x+y=2 and x²+y²=4 then x³+y³=?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

x+y=2

x=2-y

x2+y2=4

(2-y)2 +y2=4

4+y2-4y+y2=4

2y2-4y=0

2y(y-4)=0

y=0 or y=4

if y=0

x3+y3

=(2-y)3 + y3

=(2-0)3+03

=8

if y=4

x3+y3

=(2-y)3+ y3

=(2-4)3+ (4)3

= -8 + 64

= 56

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