What should be added to x² + y² to get x² + y²+ 2 xy?
Answers
Answer:
2xy
Step-by-step explanation:
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2xy should be added to x² + y² to get x² + y² + 2xy
Given :
The expressions x² + y² and x² + y² + 2xy
To find :
The expression should be added to x² + y² to get x² + y² + 2xy
Solution :
Step 1 of 2 :
Write down the given expressions
Here the given expressions are x² + y² and x² + y² + 2xy
Step 2 of 2 :
Find the required expression
Let z should be added to x² + y² to get x² + y² + 2xy
By the given condition
( x² + y² ) + z = ( x² + y² + 2xy )
⇒ z = ( x² + y² + 2xy ) - ( x² + y² )
⇒ z = x² + y² + 2xy - x² - y²
⇒ z = 2xy
2xy should be added to x² + y² to get x² + y² + 2xy
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