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What is obtained after simplifying (5u^2v-3uv+2u^2v+6uv-4)?

Answer and explanation

Correct answer: \(7u^2v+3uv-4\)

Only like terms can be added or subtracted. \(5u^2v\) and \(2u^2v\) are like terms, so their sum is \(7u^2v\). Similarly, \(-3uv+6uv=3uv\). Therefore, the simplified expression is \(7u^2v+3uv-4\). In option B, \(5+2\) has incorrectly been taken as \(3\). Exam tip: before combining terms, check that both the variables and their exponents are identical.

Related tags

Algebraic ExpressionsLike TermsPolynomial SimplificationVariables And ExponentsIntroduction To PolynomialsMathematicsClass 9 Mcq

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