If x = 3 + 1 and y = 3 - 1 , then the value of ( x 2 + y 2 ) is: 3 - 1 3 + 1 Options: A . &nbsp10 B . &nbsp13 C . &nbsp14 D . &nbsp15

Answer: Option C x = ( 3 + 1) x ( 3 + 1) = ( 3 + 1) 2 = 3 + 1 + 2 3 = 2 + 3 . ( 3 - 1) ( 3 + 1) (3 - 1) 2 y = ( 3 - 1) x ( 3 - 1) = ( 3 - 1) 2 = 3 + 1 - 2 3 = 2 - 3 . ( 3 + 1) ( 3 - 1) (3 - 1) 2 x 2 + y 2 = (2 + 3 ) 2 + (2 - 3 ) 2 = 2(4 + 3) = 14

If x = 3 + 1 and y = 3 - 1 , then the value of (x2 + y

Question

If x = 3 + 1 and y = 3 - 1 , then the value of (x² + y²) is: 3 - 1 3 + 1

Options:

A . 10

B . 13

C . 14

D . 15

Answer: Option C

x = (3 + 1) x (3 + 1) = (3 + 1)² = 3 + 1 + 23 = 2 + 3. (3 - 1) (3 + 1) (3 - 1) 2

y = (3 - 1) x (3 - 1) = (3 - 1)² = 3 + 1 - 23 = 2 - 3. (3 + 1) (3 - 1) (3 - 1) 2

x² + y² = (2 + 3)² + (2 - 3)²

= 2(4 + 3)

= 14

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