Factor the following expression, and verify that the factored expression is equivalent to the original: 4x^2-9a^6

Answer: (2x - 3a³) ,(2x + 3a³) Step-by-step explanation:Given that4x^2-9a^6 As we know thatx² - y² = ( x+y)(x-y)So4x^2-9a^6  = (2x)² - (3a³)² By using the above formulax² - 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 verifyMultiple both factors(2x - 3a³) (2x + 3a³)  = 2x .2x -2x . 3a³ + 3a³ . 2x -  3a³. 3a³                                 =4x² - 9 a ⁶