(x-8)-simplify.jpeg "(x+8)(x-8) Simplify")
Simplifying (x+8)(x-8)
This expression represents the product of two binomials: (x+8) and (x-8). We can simplify it using the difference of squares pattern.
The Difference of Squares Pattern
The difference of squares pattern states:
(a + b)(a - b) = a² - b²
This pattern is helpful because it allows us to quickly multiply two binomials with the same terms but opposite signs.
Applying the Pattern
Let's apply this pattern to our expression:
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Identify a and b:
- In our expression, a = x and b = 8.
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Substitute into the pattern:
- (x + 8)(x - 8) = x² - 8²
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Simplify:
- x² - 8² = x² - 64
The Simplified Expression
Therefore, the simplified form of (x+8)(x-8) is x² - 64.
This expression is a quadratic expression in its simplest form.