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Which expression has the simplified form (6x-9)?

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Answer and explanation

Correct answer: 3(2x-3)

Using the distributive property, \(3(2x-3)=3\times2x-3\times3=6x-9\). Therefore, option A is correct. In option D, the constant term becomes \(+9\), whereas the required expression has \(-9\). Exam tip: When expanding brackets, multiply the outside number by every term inside the bracket.

Related tags

Algebraic ExpressionsPolynomialsDistributive PropertyExpansionEquivalent Expressions

Frequently asked questions

What is the correct answer to this question?

3(2x-3)

Why is this the correct answer?

Using the distributive property, \(3(2x-3)=3\times2x-3\times3=6x-9\). Therefore, option A is correct. In option D, the constant term becomes \(+9\), whereas the required expression has \(-9\). Exam tip: When expanding brackets, multiply the outside number by every term inside the bracket.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.

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