If ab = 10 and a² + b² = 30, then solve for y in y = (a + b)²?

Solution:

Given: ab = 10 and a² + b² = 30

We have to find the value of y and y = (a + b)²

We know that (a + b)² = a² + b² + 2ab --- (1)

Put the values in the equation 1

We get,

⇒ y = (a + b)² = a² + b² + 2ab

⇒ y = (a + b)² = 30 + 2(10)

⇒ y = (a + b)² = 30 + 20

⇒ y = (a + b)² = 50

If ab = 10 and a² + b² = 30, then solve for y in y = (a + b)²?

Summary:

If ab = 10 and a² + b² = 30 then the value of y = (a + b)² is 50.