What is obtained after simplifying (a^2+a+a^2+3)?
Answer and explanation
Correct answer: \(2a^2+a+3\)
The two \(a^2\) terms are like terms, so \(a^2+a^2=2a^2\). The term \(a\) and the constant \(3\) are unlike terms, so they cannot be combined further. Hence, the simplified expression is \(2a^2+a+3\). In particular, \(a^2\) cannot be added to \(a\) to make \(2a\). Exam tip: combine only terms with the same variable and exponent.
Frequently asked questions
What is the correct answer to this question?
\(2a^2+a+3\)
Why is this the correct answer?
The two \(a^2\) terms are like terms, so \(a^2+a^2=2a^2\). The term \(a\) and the constant \(3\) are unlike terms, so they cannot be combined further. Hence, the simplified expression is \(2a^2+a+3\). In particular, \(a^2\) cannot be added to \(a\) to make \(2a\). Exam tip: combine only terms with the same variable and 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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