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What is the simplified form of (5(a-2)-2(a+1))?

Answer and explanation

Correct answer: \(3a-12\)

On expanding the brackets, \(5(a-2)=5a-10\) and \(-2(a+1)=-2a-2\). Therefore, \(5a-10-2a-2=3a-12\). Hence, the correct answer is \(3a-12\). \(3a-8\) results from handling the signs of the constant terms incorrectly. Exam tip: When a negative coefficient is outside a bracket, multiply it by every term inside the bracket.

Related tags

Algebraic ExpressionsPolynomialsBracket ExpansionLike TermsSign RulesIntroduction To PolynomialsMathematicsClass 9 Mcq

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