Question

How many terms are in the binomial expansion of (a+b)^2

Answer 1

3 terms

Explanation:

The binomial expansion of (a + b)^2 has three terms.

When expanding (a + b)^2 using the binomial theorem, we get:

`\sf (a + b)^2 = a^2 + 2ab + b^2`

The expansion consists of three terms:

• a²
• 2ab
• b²

Answer 2

• 3 terms

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Expand using the square of the sum identity:

• (a + b)² = a² + 2ab + b²

As we see it has 3 terms.