Question

Factorize :- 1 - 81p^4q^2​

Answer 1

Step-by-step explanation:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

((81 • (p2)) - 36pq) + 22q2

STEP

2

:

Equation at the end of step

2

:

(34p2 - 36pq) + 22q2

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 81p2 - 36pq + 4q2

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

Found a factorization : (9p - 2q)•(9p - 2q)

Detecting a perfect square :

3.2 81p2 -36pq +4q2 is a perfect square

It factors into (9p-2q)•(9p-2q)

which is another way of writing (9p-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

Final result :

mark me as brainliest

(9p - 2q)2