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If (m=-1) and (n=4), what is the value of (3m^2n-2mn^2)?

Answer and explanation

Correct answer: 44

Given \(m=-1\) and \(n=4\), we have \(m^2=(-1)^2=1\) and \(n^2=4^2=16\). Thus, \(3m^2n=3\times1\times4=12\), while \(-2mn^2=-2\times(-1)\times16=32\). Therefore, the value of the expression is \(12+32=44\). Option 32 is only the value of the second term, not of the complete expression. Exam tip: squaring a negative number gives a positive result.

Related tags

Algebraic ExpressionsSubstitutionExponentsPolynomialsIntroduction To PolynomialsMathematicsClass 9 Mcq

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