Question

4m^2+4mn+n^2 is the same as​

Answer 1

Answer:

Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "n2" was replaced by "n^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

((0 - 22m2) - 4mn) - n2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

-4m2 - 4mn - n2 = -1 • (4m2 + 4mn + n2)

Trying to factor a multi variable polynomial :

3.2 Factoring 4m2 + 4mn + n2

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

Found a factorization : (2m + n)•(2m + n)

Detecting a perfect square :

3.3 4m2 +4mn +n2 is a perfect square

It factors into (2m+n)•(2m+n)

which is another way of writing (2m+n)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 :

-1 • (2m + n)2

Answer 2

Answer:

(1): "n2"   was replaced by   "n^2".  1 more similar replacement(s).

STEP1:Equation at the end of step 1

((0 - 22m2) - 4mn) - n2

STEP2:

STEP3:Pulling out like terms

 3.1     Pull out like factors :

   -4m2 - 4mn - n2  =   -1 • (4m2 + 4mn + n2) 

Trying to factor a multi variable polynomial :

 3.2    Factoring    4m2 + 4mn + n2 

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

 Found a factorization  :  (2m + n)•(2m + n)

Detecting a perfect square :

 3.3    4m2  +4mn  +n2  is a perfect square 

 It factors into  (2m+n)•(2m+n)

which is another way of writing  (2m+n)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 :

-1 • (2m + n)2

Step-by-step explanation:

I PURPLE ARMY