What is the total number of terms in the expansion of (x + 2y)^6?

₹0.0

Question: What is the total number of terms in the expansion of (x + 2y)^6?

Options:

Correct Answer: 8

Solution:

The total number of terms is n + 1 = 6 + 1 = 7.

What is the total number of terms in the expansion of (x + 2y)^6?

What is the total number of terms in the expansion of (x + 2y)^6?

Step 1: Identify the expression you are expanding, which is (x + 2y)^6.
Step 2: Recognize that the expression is in the form of (a + b)^n, where a = x, b = 2y, and n = 6.
Step 3: Use the formula for the total number of terms in the expansion of (a + b)^n, which is n + 1.
Step 4: Substitute the value of n into the formula: n + 1 = 6 + 1.
Step 5: Calculate the result: 6 + 1 = 7.
Step 6: Conclude that the total number of terms in the expansion is 7.

No concepts available.