Answer:
(2x - 3a³) ,(2x + 3a³)
Step-by-step explanation:
Given that
4x^2-9a^6
As we know that
x² - y² = ( x+y)(x-y)
So
4x^2-9a^6 = (2x)² - (3a³)²
By using the above formula
x² - y² = ( x+y)(x-y)
4x^2-9a^6 = (2x)² - (3a³)²
4x^2-9a^6 = (2x - 3a³) (2x + 3a³)
So the factor is (2x - 3a³) ,(2x + 3a³)
To verify
Multiple both factors
(2x - 3a³) (2x + 3a³) = 2x .2x -2x . 3a³ + 3a³ . 2x - 3a³. 3a³
=4x² - 9 a ⁶
