Question

25-9p square-4q square - 12pq

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Equation at the end of step 1

 ((9 • (p2)) +  12pq) +  22q2

STEP  

2

:

Equation at the end of step

2

:

 (32p2 +  12pq) +  22q2

STEP

3

:

Trying to factor a multi variable polynomial

3.1    Factoring    9p2 + 12pq + 4q2  

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

Found a factorization  :  (3p + 2q)•(3p + 2q)

Detecting a perfect square :

3.2    9p2  +12pq  +4q2  is a perfect square  

It factors into  (3p+2q)•(3p+2q)

which is another way of writing  (3p+2q)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

Step-by-step explanation: