Sum of Coefficients in Expansion?

📌 CONCEPT: The binomial theorem is used to expand expressions in the form of (x + y)^n, and here we're interested in finding the sum of coefficients in the expanded expression.

📐 RULE / FORMULA: According to the binomial theorem, the sum of coefficients in the expansion of (x + y)^n is given by 2^n.

💡 WORKED EXAMPLE: To find the sum of coefficients in the expansion of (x + y)^6, we can directly apply the formula: sum of coefficients = 2^6 = 64. This result holds true for any value of x and y, because the value of the sum depends only on the power of the binomial, which is 6 in this case.

⚠️ COMMON MISTAKE: Students often get confused between finding the sum of coefficients and finding the value of the expression for specific values of x and y. It is essential to understand the difference and apply the correct formula to obtain the desired result.