A) x³+6x²+12x+8. (x+2)³ = x³ + 3(x²)(2) + 3(x)(4) + 8 = x³+6x²+12x+8.

Expand: (x+2)³

A x³+6x²+12x+8

B x³+4x²+8x+8

C x³+8x²+12x+6

D x³+2x²+4x+8

✓ Correct Answer: Option A

(x+2)³ = x³ + 3(x²)(2) + 3(x)(4) + 8 = x³+6x²+12x+8.

💡 Why is A) the correct answer?

The correct answer to the question "Expand: (x+2)³" is Option A: x³+6x²+12x+8.

The other options — B) x³+4x²+8x+8, C) x³+8x²+12x+6, D) x³+2x²+4x+8 — are incorrect for this Mathematics question. As explained above: (x+2)³ = x³ + 3(x²)(2) + 3(x)(4) + 8 = x³+6x²+12x+8.

📚 About This Mathematics Practice Question

This 2-level Mathematics question from the Algebra topic is part of One Paper Preparation's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free Mathematics practice test or use flashcards for spaced repetition review.

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Expand: (x+2)³

✓ Correct Answer: Option A

📚 About This Mathematics Practice Question

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