Verified answer

4y (9 - 4 x²)

-------------------

2 (2x +3)

2y (9 - 4x²)

-------------------

(2x + 3)

2y (3² - 4x²)

------------------

(2x +3)

2y ( 2x -3) ( 2x +3)

------------------

(2x +3)

Resposta : 2y (2x -3)

Resposta:

( 4y ( 9-4x² ) ) / ( 2 (2x+3) ) =

= ( 4y ( 3+2x ) ( 3-2x ) ) / ( 2 ( 2x+3 ) ) =

= 2y ( 3-2x )

vamos la

y(36-16x²) /2(2x+3) no numerador temos diferença de quadrados logo

y(6+4x)(6-4x)/ (4x +6) simplificando

y(6-4x) => 6y-4x evidenciando o 2

2(3y-2x) okkkkk

4y(9-4x²)

-------------=

2(2x+3)

2y(3-2x)(3+2x)

---------------------=

(2x+3)

2y(3-2y)