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What is the term containing (xz) in ( (2x-3y+z)^2 )?

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Answer and explanation

Correct answer: 4xz

In the square of three terms, the mixed term formed by two selected terms is twice their product. Here the relevant terms are 2x and z, so the xz term is

2(2x)(z)=4xz.

The term -6yz comes from the product of -3y and z, so it is not an xz term. Exam tip: identify the required pair of terms and take twice their product.

Related tags

Algebraic IdentitiesSquare Of TrinomialMixed TermsPolynomial ExpansionClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

4xz

Why is this the correct answer?

In the square of three terms, the mixed term formed by two selected terms is twice their product. Here the relevant terms are 2x and z, so the xz term is

2(2x)(z)=4xz.

The term -6yz comes from the product of -3y and z, so it is not an xz term. Exam tip: identify the required pair of terms and take twice their product.

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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