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Which expression has the simplified form (7x-14)?

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Answer and explanation

Correct answer: 7(x-2)

Using the distributive property, \(7(x-2)=7\times x-7\times 2=7x-14\), so option C is correct. Option A expands to \(7x+14\), while option B expands to \(14x-14\); neither matches the given expression. Exam tip: multiply the number outside the bracket by every term inside it.

Related tags

Algebraic ExpressionsDistributive PropertyExpansionEquivalent ExpressionsPolynomials

Frequently asked questions

What is the correct answer to this question?

7(x-2)

Why is this the correct answer?

Using the distributive property, \(7(x-2)=7\times x-7\times 2=7x-14\), so option C is correct. Option A expands to \(7x+14\), while option B expands to \(14x-14\); neither matches the given expression. Exam tip: multiply the number outside the bracket by every term inside it.

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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