What is obtained after simplifying (5p^2q-3pq+2p^2q)?
Answer and explanation
Correct answer: \(7p^2q-3pq\)
\(5p^2q\) and \(2p^2q\) are like terms, so adding their coefficients gives \((5+2)p^2q=7p^2q\). The term \(-3pq\) has variable part \(pq\), which is different from \(p^2q\), so it cannot be combined with \(7p^2q\). Therefore, the simplified expression is \(7p^2q-3pq\). Exam tip: combine only terms with exactly the same variables raised to the same powers.
Frequently asked questions
What is the correct answer to this question?
\(7p^2q-3pq\)
Why is this the correct answer?
\(5p^2q\) and \(2p^2q\) are like terms, so adding their coefficients gives \((5+2)p^2q=7p^2q\). The term \(-3pq\) has variable part \(pq\), which is different from \(p^2q\), so it cannot be combined with \(7p^2q\). Therefore, the simplified expression is \(7p^2q-3pq\). Exam tip: combine only terms with exactly the same variables raised to the same powers.
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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