%5E2-15-simplified.jpeg "(6x-7)^2-15 Simplified")
Simplifying (6x - 7)² - 15
This expression can be simplified using the following steps:
Step 1: Expand the Square
The expression (6x - 7)² represents the product of (6x - 7) with itself. We can expand this using the FOIL method (First, Outer, Inner, Last):
(6x - 7)² = (6x - 7)(6x - 7) = 6x * 6x + 6x * (-7) + (-7) * 6x + (-7) * (-7) = 36x² - 42x - 42x + 49
Step 2: Combine Like Terms
Combining the x terms, we get:
36x² - 84x + 49
Step 3: Subtract 15
Finally, we subtract 15 from the expanded expression:
36x² - 84x + 49 - 15 = 36x² - 84x + 34
Therefore, the simplified form of (6x - 7)² - 15 is 36x² - 84x + 34.