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What is obtained after simplifying (7(z-1)+2)?

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Answer and explanation

Correct answer: \(7z-5\)

Using the distributive property, \(7(z-1)=7z-7\). Then \(7z-7+2=7z-5\), so the correct answer is \(7z-5\). The expression \(7z-9\) would result from incorrectly treating \(+2\) as \(-2\). Exam tip: after expanding brackets, combine only like terms.

Related tags

Algebraic ExpressionsDistributive PropertySimplifying ExpressionsLike TermsPolynomials

Frequently asked questions

What is the correct answer to this question?

\(7z-5\)

Why is this the correct answer?

Using the distributive property, \(7(z-1)=7z-7\). Then \(7z-7+2=7z-5\), so the correct answer is \(7z-5\). The expression \(7z-9\) would result from incorrectly treating \(+2\) as \(-2\). Exam tip: after expanding brackets, combine only like terms.

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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