Answer:

(x-y)(x-y)

Step-by-step explanation:

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Answer:

 (x - y)2

Step-by-step explanation:

STEP

1

:

Trying to factor a multi variable polynomial

1.1    Factoring    x2 - 2xy + y2  

Try to factor this multi-variable trinomial using trial and error  

Found a factorization  :  (x - y)•(x - y)

Detecting a perfect square :

1.2    x2  -2xy  +y2  is a perfect square  

It factors into  (x-y)•(x-y)

which is another way of writing  (x-y)2

How to recognize a perfect square trinomial:  

• It has three terms  

• Two of its terms are perfect squares themselves  

• The remaining term is twice the product of the square roots of the other two terms

Final result :

 (x - y)2

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