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Which option is equal to (3(2x+y)-5(x-2y)+2x)?

Answer and explanation

Correct answer: 3x+13y

Expand the brackets: \(3(2x+y)=6x+3y\) and \(-5(x-2y)=-5x+10y\). Therefore, \(6x+3y-5x+10y+2x=3x+13y\). Hence, option A is correct. In \(13x+13y\), the \(x\)-terms have been added incorrectly. Exam tip: When a bracket has a negative coefficient before it, apply the sign to every term inside the bracket.

Related tags

Algebraic ExpressionsPolynomialsExpansionLike TermsDistributive PropertyIntroduction To PolynomialsMathematicsClass 9 Mcq

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