Let's expand both sides of the equation:
Left side:(2x-9)² = (2x-9)(2x-9) = 4x² - 18x - 18x + 81= 4x² - 36x + 81
Right side:(2x-3)(2x+3) = 2x(2x) + 2x(3) - 3(2x) - 3(3)= 4x² + 6x - 6x - 9= 4x² - 9
Now we can see that the two sides are not equal, so the original equation (2x-9)² = (2x-3)(2x+3) is not correct.
Let's expand both sides of the equation:
Left side:
(2x-9)² = (2x-9)(2x-9) = 4x² - 18x - 18x + 81
= 4x² - 36x + 81
Right side:
(2x-3)(2x+3) = 2x(2x) + 2x(3) - 3(2x) - 3(3)
= 4x² + 6x - 6x - 9
= 4x² - 9
Now we can see that the two sides are not equal, so the original equation (2x-9)² = (2x-3)(2x+3) is not correct.