To multiply (2x+6)², you need to apply the formula for squaring a binomial, which is (a+b)² = a² + 2ab + b². In this case, a = 2x and b = 6.
Here's how you can expand and simplify the expression (2x+6)² step by step:
1. Square the first term: (2x)² = 4x²
2. Multiply the first term by twice the product of the two terms: 2*(2x)*(6) = 24x
3. Square the second term: (6)² = 36
Now, combine these results to get the final answer:
(2x+6)² = 4x² + 24x + 36
Therefore, the correct answer is:
A. 4x² + 24x + 36
This option matches the result obtained by expanding and simplifying the given expression using the formula for squaring a binomial.
