Question

If x+y = 2 and 1/x + 1/y = 2 then x³ + y³ = ?​

Answer 1

Step-by-step explanation:

1/x +1/y =2

x+y/xy =2

2/xy =2

xy = 2/2 =1

(x+y)³ = x³+y³+3xy(x+y)

2³=x³+y³+3×1(2)

8 = x³+y³+6

x³+y³ = 8-6 =2