Question

9x2_24xy+16y2divided by 3x_4y​

Answer 1

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "y2" was replaced by "y^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

STEP

2

:

Equation at the end of step

2

:

STEP

3

:

9x2 + 24xy + 16y2

Simplify —————————————————

3x + 4y

Trying to factor a multi variable polynomial :

3.1 Factoring 9x2 + 24xy + 16y2

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

Found a factorization : (3x + 4y)•(3x + 4y)

Detecting a perfect square :

3.2 9x2 +24xy +16y2 is a perfect square

It factors into (3x+4y)•(3x+4y)

which is another way of writing (3x+4y)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