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How many terms remain after simplifying (8p^2q-3pq+6pq-5p^2q+4)?

Answer and explanation

Correct answer: 3

Combining like terms gives \(8p^2q-5p^2q=3p^2q\) and \(-3pq+6pq=3pq\). Thus, the simplified expression is \(3p^2q+3pq+4\), which has 3 terms: \(3p^2q\), \(3pq\), and \(4\). Choosing 2 would be incorrect because the constant \(4\) is also a separate term. Exam tip: Combine only terms with exactly the same variables and exponents.

Related tags

Algebraic ExpressionsLike TermsPolynomial SimplificationNumber Of TermsClass 9 MathematicsIntroduction To PolynomialsMathematicsClass 9 Mcq

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