(x+8)(x-10) Using Identities

Jasonbradley

less than a minute read

·

Jun 17, 2024

28

Share

Expanding (x+8)(x-10) using Identities

This expression can be expanded using the difference of squares identity:

a² - b² = (a + b)(a - b)

Let's break down how to apply this identity:

1. Identify 'a' and 'b':

   • In our case, a = x + 8 and b = 10.

2. Apply the identity:

   • Substitute the values of 'a' and 'b' into the identity:
     • (x + 8)² - 10²

3. Expand the squares:

   • (x + 8)² = (x + 8)(x + 8) = x² + 16x + 64
   • 10² = 100

4. Combine terms:

   • (x² + 16x + 64) - 100 = x² + 16x - 36

Therefore, the expanded form of (x + 8)(x - 10) is x² + 16x - 36.

In summary:

By recognizing the given expression as a difference of squares, we can efficiently expand it using the identity and arrive at the final result.