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

Practice Questions

Q1
What is the total number of terms in the expansion of (x + 2y)^6?
  1. 6
  2. 7
  3. 8
  4. 9

Questions & Step-by-Step Solutions

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.
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