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