Question

Distribute (x2 + 2xy + y2)(x+1) and show work...

Answer 1

 (x2+2xy+y2)(x+1) Final result : (x + y)2 • (x + 1) Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y2"   was replaced by   "y^2".  1 more similar replacement(s).

Step by step solution :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 • (x + 1)
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