(8%E2%88%923a).jpeg "(8+3a)(8−3a)")
Simplifying the Expression (8+3a)(8−3a)
The expression (8+3a)(8−3a) represents the product of two binomials. We can simplify this expression using the difference of squares pattern.
Understanding the Difference of Squares
The difference of squares pattern states:
(a + b)(a - b) = a² - b²
Applying the Pattern
In our expression, we can identify:
- a = 8
- b = 3a
Substituting these values into the pattern, we get:
(8 + 3a)(8 - 3a) = 8² - (3a)²
Simplifying Further
- 8² = 64
- (3a)² = 9a²
Therefore, the simplified expression is:
(8 + 3a)(8 - 3a) = 64 - 9a²
Conclusion
By recognizing the difference of squares pattern, we have successfully simplified the expression (8+3a)(8−3a) into 64 - 9a². This simplified form is much easier to work with and can be used for further calculations or analysis.