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If (m+n=8) and (m-n=2), what is the value of (3(m+n)-2(m-n))?

Answer and explanation

Correct answer: 20

Given \(m+n=8\) and \(m-n=2\), substitute these directly: \(3(m+n)-2(m-n)=3\times 8-2\times 2=24-4=20\). Therefore, 20 is correct. A value such as 22 can result from not subtracting \(2(m-n)\) correctly. Exam tip: Treat each given bracketed expression as one quantity, multiply first, and then subtract.

Related tags

Algebraic ExpressionsSubstitutionLinear ExpressionsPolynomialsMathematicsIntroduction To PolynomialsClass 9 Mcq

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