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What is the coefficient of (a) in ( (3a-2)(3a+8) )?

Answer and explanation

Correct answer: 18

Expand the expression: \((3a-2)(3a+8)=9a^2+24a-6a-16=9a^2+18a-16\). Therefore, the coefficient of \(a\) is \(18\). The value \(24\) comes only from \(3a\times 8\); the term \(-2\times 3a=-6a\) must also be included. Exam tip: write all four products before combining like terms.

Related tags

Algebraic IdentitiesBinomial MultiplicationCoefficientLike TermsClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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