Question

16a^2+8ab+o is complete square

Answer 1

Answer:

STEP1:Equation at the end of step 1

(24a2 - 8ab) + b2

STEP2:Trying to factor a multi variable polynomial

2.1 Factoring 16a2 - 8ab + b2

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

Found a factorization : (4a - b)•(4a - b)

Detecting a perfect square :

2.2 16a2 -8ab +b2 is a perfect square

It factors into (4a-b)•(4a-b)

which is another way of writing (4a-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

Final result :

(4a - b)2

Step-by-step explanation:

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