How many terms are there in the expansion of (1 + 2x + x2)10?
How many terms are there in the expansion of (1 + 2x + x2)10? Correct Answer 21
Concept:
Total number of terms in the expansion of (x + y) n is n + 1
Calculation:
Given expression is (1 + 2x + x2)10
⇒ {(1 + x)2}10
⇒ (1 + x)20
Here n = 20
Now, Total number of terms will be (n + 1) = 20 + 1 = 21
∴ Total number of terms in the expansion is 21.
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Feb 20, 2025