Respuesta :

The value of the given expression will be equal to ( x + y )² = a + 8.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

  • xy = 4 and x² + y² = a

The expression will be calculated as:-

( x + y )² = x² + y² + 2 xy

( x + y )²  =  a  +  2 x ( 4 )

( x + y )²  =  a  +  8

Therefore the value of the given expression will be equal to ( x + y )² = a + 8.

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