Question

(x^2 + 2xy + x + 2) ÷ (xy + 1) = ?
Please help me out. ​

Answer 1

Answer: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

1

:

Trying to factor a multi variable polynomial

1.1    Factoring    x2y2 - 2xy + 1  

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

Found a factorization  :  (xy - 1)•(xy - 1)

Detecting a perfect square :

1.2    x2y2  -2xy  +1  is a perfect square  

 It factors into  (xy-1)•(xy-1)

which is another way of writing  (xy-1)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 :

 (xy - 1)2