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What is the simplified form of ( (x+2y)^3+(x-2y)^3 )?

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Answer and explanation

Correct answer: (2x^3+24xy^2)

Use ( (a+b)^3+(a-b)^3=2a^3+6ab^2 ). Here (a=x) and (b=2y), so the result is (2x^3+24xy^2).

Related tags

Cube IdentitySum Of Cubes FormsSimplification

Frequently asked questions

What is the correct answer to this question?

(2x^3+24xy^2)

Why is this the correct answer?

Use ( (a+b)^3+(a-b)^3=2a^3+6ab^2 ). Here (a=x) and (b=2y), so the result is (2x^3+24xy^2).

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.

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