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Why can ( (4x+y)^2-(4x-y)^2 ) be written equal to (32xy)?

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Answer and explanation

Correct answer: Because in (4uv), (u=4x) and (v=y)

( (u+v)^2-(u-v)^2=4uv ). With (u=4x) and (v=y), it gives (16xy), so (32xy) is not correct.

Related tags

Error AnalysisDifference Identity4Uv

Frequently asked questions

What is the correct answer to this question?

Because in (4uv), (u=4x) and (v=y)

Why is this the correct answer?

( (u+v)^2-(u-v)^2=4uv ). With (u=4x) and (v=y), it gives (16xy), so (32xy) is not correct.

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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