Algebra-2

The answer to this question is A (8x³ + 48x²y + 96xy² + 64y³)

In the given expression  (2x +4y)³
, we need to expand it using the Binomial Theorem. The binomial coefficients for the expansion are determined by the fourth row of Pascal's Triangle: 1, 4, 6, 4, 1. These coefficients represent the number of ways each term can be obtained by combining the powers of 2x and 5.

To expand the expression, we raise 2x to powers decreasing from 3 down to 0, while the powers of 4y increase from 0 up to 3. The coefficients are multiplied by the corresponding powers of...