Question

X+y = 2 and 1/x+1/y=2 than
Find the value of x^3 +Y^3
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Answer 1

x + y= 2............................. 2️⃣

1/x + 1/y = 2......................1️⃣

considered 1/ x as a and 1/y as b

from 1️⃣ a+b=2

multiplying a with 2️⃣ and

x with1️⃣ you get

ax+ ay = 2................3️⃣

ax + by = 2........ ......4️⃣

subtracting 3️⃣ by 4️⃣

ay - by = 0

1/x × y - 1/y × y = 0

y/x = 1

y = x..........5️⃣

by 2️⃣ and5️⃣

y + y = 2

2y =2

y=1

by .......5️⃣

x= 1

x³ + y³ = 1³ + 1³

=2