Final answer:
The expression (4j+3)(4j-3) simplifies to 16j² - 9 using the difference of squares formula.
Step-by-step explanation:
To simplify the expression (4j+3)(4j-3), we can apply the difference of squares formula, which is a² - b² = (a + b)(a - b). In our case, a is 4j and b is 3.
The formula tells us that we can simplify the expression by squaring a and b and then subtracting the square of b from the square of a.
So: (4j)² - (3)² = 16j² - 9 Thus, the expression simplifies to 16j² - 9.
We've eliminated terms wherever possible to simplify the algebra and checked the result, which is reasonable, therefore the simplified result is correct.