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What is obtained after simplifying (11a^2-4a+6a-5a^2)?

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Answer and explanation

Correct answer: \(6a^2+2a\)

Combine like terms: \(11a^2-5a^2=6a^2\) and \(-4a+6a=2a\). Therefore, the simplified expression is \(6a^2+2a\). In option A, the coefficients of the squared terms have been added incorrectly. Exam tip: Add or subtract only terms that have the same variable with the same exponent.

Related tags

Algebraic ExpressionsPolynomialsLike TermsSimplificationExponents

Frequently asked questions

What is the correct answer to this question?

\(6a^2+2a\)

Why is this the correct answer?

Combine like terms: \(11a^2-5a^2=6a^2\) and \(-4a+6a=2a\). Therefore, the simplified expression is \(6a^2+2a\). In option A, the coefficients of the squared terms have been added incorrectly. Exam tip: Add or subtract only terms that have the same variable with the same exponent.

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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