Factor the following expression completely

Answer:
Step-by-step explanation:
This is a difference of squares. The basic rule is
x^2 - y^2 = (x - y)(x + y)
(3y^2)^2 - (2x^3)^2 = (3y^2 - 2x^3)(3y^2 + 2x^3)
That's B
Answer:
( 3 y² + 2 x³ ) ( 3 y² - 2 x³ )
Step-by-step explanation:
Given -
[tex]9 y^{4} - 4 x^{6}[/tex]
As we know that-
( a² - b²) = ( a + b) ( a - b)
[tex]9 y^{4} - 4 x^{6}[/tex]
( 3 y² )² - ( 2 x³ )²
( 3 y² + 2 x³ ) ( 3 y² - 2 x³ )
Hence [tex]9 y^{4} - 4 x^{6}[/tex] = ( 3 y² + 2 x³ ) ( 3 y² - 2 x³ )