Question

x^2+4xy+4y^2 factorise​

Answer 1

Changes made to your input should not affect the solution:

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

STEP

1

:

Equation at the end of step 1

 ((x2) +  4xy) +  22y2

STEP

2

:

Trying to factor a multi variable polynomial

2.1    Factoring    x2 + 4xy + 4y2  

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

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

Detecting a perfect square :

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

It factors into  (x+2y)•(x+2y)

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