36x² - (-6x+1)² can be simplified using the formula a² - b² = (a + b)(a - b).
Let's simplify (-6x+1)² first. Expanding the square gives us (-6x+1)² = (-6x+1)(-6x+1) = 36x² - 6x + 6x - 1 = 36x² - 1.
Now we can substitute this result back into the original expression:
36x² - (-6x+1)² = 36x² - (36x² - 1) = 36x² - 36x² + 1 = 1.
Therefore, the simplified expression is 1.
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