Question

*p² / 4 + p / 3 + 1/9 is an expansion of which binomial?*

1️⃣ (p/2 + 1/3)²
2️⃣ (p/2 - 1/3)²
3️⃣ (p/4 + 1/9)²
4️⃣ none of the above​

Answer 1

Question :- p² / 4 + p / 3 + 1/9 is an expansion of which binomial?

1) (p/2 + 1/3)²

2) (p/2 - 1/3)²

3) (p/4 + 1/9)²

4) none of the above

Solution :-

→ p² / 4 + p / 3 + 1/9

given expression can be written as ,

→ (p/2)² + 2 * (p/2) * (1/3) * (1/3)²

comparing with a² + 2 * a * b + b², we get,

• (p/2) = a
• (1/3) = b

therefore, using ,

• a² + 2 * a * b + b² = (a + b)²

→ (p/2 + 1/3)² (Option 1) (Ans.)

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