Question

36a²-12ab+b²





please no nonsense answers​

Answer 1

Answer:

-1 • (6a - b)2

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((0 -  (22•32a2)) +  12ab) -  b2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -36a2 + 12ab - b2  =   -1 • (36a2 - 12ab + b2)  

Trying to factor a multi variable polynomial :

3.2    Factoring    36a2 - 12ab + b2  

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

Found a factorization  :  (6a - b)•(6a - b)

Detecting a perfect square :

3.3    36a2  -12ab  +b2  is a perfect square  

It factors into  (6a-b)•(6a-b)

which is another way of writing  (6a-b)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

Answer 2

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