Question

if x+y=12 and xy=27 then what is (x+y)^2 and x^2+y^2

Answer 1

Answer:

( x + y )² = 144

x² + y² = 142

Step-by-step explanation:

Given,

x + y = 12

xy = 1

To find : -

1. ( x + y )²

2. x² + y²

1.

( x + y )²

= 12²

= 144

2.

( x + y )²

Formula / Identify : -

( a + b )² = a² + b² + 2ab

Here,

a = x

b = y

( x + y )² = x² + y² + 2ab

x² + y² = ( x + y )² - 2ab

= 144 - 2 ( 1 )

= 144 - 2

x² + y² = 142