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What is the simplified form of ((x+1)^3-(x-1)^3)?
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Answer and explanation
Correct answer: (,6x^2+2,)
On expansion, ((x+1)^3=x^3+3x^2+3x+1) and ((x-1)^3=x^3-3x^2+3x-1), so the difference is (6x^2+2). In exams, expand cubes carefully.
Frequently asked questions
What is the correct answer to this question?
(,6x^2+2,)
Why is this the correct answer?
On expansion, ((x+1)^3=x^3+3x^2+3x+1) and ((x-1)^3=x^3-3x^2+3x-1), so the difference is (6x^2+2). In exams, expand cubes carefully.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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