Question

factories the expression 4p2+12pq+9q2​

Answer 1

Answer:

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4p²+12pq+9q²

(2p)²+2×2p×3q+(3q)²

(2p+3q)²

Hope it's helpful...❤️

Answer 2

Step-by-step explanation:

Step by Step Solution:

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Reformatting the input :

Changes made to your input should not affect the solution:

(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) + 32q2STEP

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(sq.)