Question

Use the Binomial Theorem and Pascal’s triangle to expand (x + 2)4.

Answer 1

Answer: The answer is x4 + 8x3 + 24x2 + 32x + 16.

Explanation:

The answer is x4 + 8x3 + 24x2 + 32x + 16.

This can be determined by using the Binomial Theorem and Pascal's triangle. The Binomial Theorem states that (x + 2)4 = x4 + 4x3 + 6x2 + 4x + 16. Then, looking at Pascal's triangle, we can see that 4x3 = 8x3, 6x2 = 24x2, and 4x = 32x. Therefore, the answer is x4 + 8x3 + 24x2 + 32x + 16.