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

1.	If x+y=12 and xy=27 then what is (x+y)^2 and x^2+y^2
Answer» 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

Answer»

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

( x + y )²

= 12²

= 144

( 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

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