Question

4x^2+4xy+y^2
by using identities

Answer 1

Answer:

4x2-4xy+y2  

Final result :

 (2x - y)2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (22x2 -  4xy) +  y2

Step  2  :

Trying to factor a multi variable polynomial :

2.1    Factoring    4x2 - 4xy + y2  

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

Found a factorization  :  (2x - y)•(2x - y)

Detecting a perfect square :

2.2    4x2  -4xy  +y2  is a perfect square  

It factors into  (2x-y)•(2x-y)

which is another way of writing  (2x-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 :

 (2x - y)2

Answer 2

Answer:

4x^2+4xy+y^2

=(4x+y)^2