Question

The factorised form of 4p2 + 12pq + 9q2 - 16z2 is

Answer 1

Step-by-step explanation:

(1): "q2" was replaced by "q^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

((4 • (p2)) - 12pq) + 32q2

STEP

2

:

Equation at the end of step

2

:

(22p2 - 12pq) + 32q2

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 4p2 - 12pq + 9q2

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

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

Detecting a perfect square :

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

It factors into (2p-3q)•(2p-3q)

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

(2p - 3q)2

Answer 2

Answer:

here the term is addition and there are different variable we cannot add different variable