Question

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Answer 1

Answer:

5−x²+2xy−y²

Step-by-step explanation:

5 - (x-y)²

Rewrite  

(x−y)² as (x−y)(x−y) so

5−((x−y)(x−y))

Expand (x−y)(x−y) using the FOIL Method

Apply the distributive property.

5−(x(x−y)−y(x−y))

Apply the distributive property

5−(x⋅x+x(−y)−y(x−y))

Apply the distributive property

5−(x⋅x+x(−y)−yx−y(−y))

Simplify and combine like terms  

Simplify each term

5−(x²−xy−yx+y²)

Subtract yx from −xy  

5−(x²−2xy+y²)

Apply the distributive property

5−x²−(−2xy)−y²

Multiply  −2 by −1

5−x²+2xy−y²