Expanding the left side of the inequality, we get:
(3m-1) (3m+1) = 9m² + 3m - 3m - 1 = 9m² - 1
Now we compare this to the right side of the inequality:
9m² - 1 > 9m² - 7
Now, we simplify the inequality:
-1 > -7
Since -1 is greater than -7, the inequality holds true. Therefore, (3m-1) (3m+1) > 9m²-7.
Expanding the left side of the inequality, we get:
(3m-1) (3m+1) = 9m² + 3m - 3m - 1 = 9m² - 1
Now we compare this to the right side of the inequality:
9m² - 1 > 9m² - 7
Now, we simplify the inequality:
-1 > -7
Since -1 is greater than -7, the inequality holds true. Therefore, (3m-1) (3m+1) > 9m²-7.