(a) Factor the expression. \[ 36 x^{2}-25=\square \]

The expression \( 36x^2 - 25 \) can be factored using the difference of squares. It takes the form \( a^2 - b^2 \), where \( a = 6x \) and \( b = 5 \). Therefore, we can factor it as follows: \[ 36x^2 - 25 = (6x - 5)(6x + 5) \] This means the expression can be neatly expressed as the product of two binomials! Next time you see a difference of squares, just remember: it’s like a mathematical magic trick where you see two squares and can transform them into a product of sums and differences!