(6x-7)^2-15 Simplified

less than a minute read Jun 16, 2024
(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.

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