Question

If
a+b = a/b +b/a
find a ²+ b²​

Answer 1

Answer:

${a }^{2} + 2ab + {b}^{2}$

Answer 2

Answer:

• The value of a² + b² is (a + b)/ab

Solution:

⇒ a + b = a/b + b/a

⇒ a + b = (a² + b²)/ab

⇒ a² + b² = (a + b)/ab

Therefore, the vale of a² + b² is (a + b)/ab.

_____________________________

Extra information:

→ a² + b² = (a + b)² - 2ab

→ a² + b² = (a - b)² + 2ab

→ a³ + b³ = (a + b) (a² - ab + b²)

→ a³ - b³ = (a - b) (a² + ab + b²)