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If (y \neq 0), what is the simplified form of (\dfrac{(x+y)^3-(x-y)^3}{2y})?
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Answer and explanation
Correct answer: (,3x^2+y^2,)
The numerator difference is (6x^2y+2y^3=2y(3x^2+y^2)), so division gives (3x^2+y^2). In exams, take out the common factor.
Frequently asked questions
What is the correct answer to this question?
(,3x^2+y^2,)
Why is this the correct answer?
The numerator difference is (6x^2y+2y^3=2y(3x^2+y^2)), so division gives (3x^2+y^2). In exams, take out the common factor.
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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