Question

49p^2-q/36p^2 the fastest and correct answer will be marked as brainliest...​

Answer 1

Step-by-step explanation:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

((49 • (p2)) - 84pq) + (22•32q2)

STEP

2

:

Equation at the end of step

2

:

(72p2 - 84pq) + (22•32q2)

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 49p2 - 84pq + 36q2

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

Found a factorization : (7p - 6q)•(7p - 6q)

Detecting a perfect square :

3.2 49p2 -84pq +36q2 is a perfect square

It factors into (7p-6q)•(7p-6q)

which is another way of writing (7p-6q)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 :

(7p - 6q)2