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How many terms are there in the expansion of (1 + 2x + x2)5 + (1 + 4y + 4y2)5 ?

How many terms are there in the expansion of (1 + 2x + x2)5 + (1 + 4y + 4y2)5 ? Correct Answer 21

Concept:

In the binomial expansion of (a + b)n, there are total n + 1 terms.

Calculation:

⇒ (1 + 2x + x2)5 + (1 + 4y + 4y2)5 = (1 + x)10 + (1 + 2y)10

As we know that, in the binomial expansion of (a + b)n, there are total n + 1 terms.

⇒ The no. of terms in the binomial expansion of (1 + x)10 and (1 + 2y)10 is 11

∴ The no. of terms in the binomial expansion of (1 + x)10 + (1 + 2y)10 = 11 + 11 - 1 = 21

So, Option 3 is correct.

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