Question

Factor the following expression completely

Answer 1

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 2

( 3 y² + 2 x³ ) ( 3 y² - 2 x³ )

Explanation:

Given -

`9 y^(4) - 4 x^(6)`

As we know that-

( a² - b²) = ( a + b) ( a - b)

`9 y^(4) - 4 x^(6)`

( 3 y² )² - ( 2 x³ )²

( 3 y² + 2 x³ ) ( 3 y² - 2 x³ )

Hence
`9 y^(4) - 4 x^(6)` = ( 3 y² + 2 x³ ) ( 3 y² - 2 x³ )