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What is obtained after simplifying (6x-(3x-(5x-8)))?

Answer and explanation

Correct answer: \(8x-8\)

First simplify the innermost bracket: \(3x-(5x-8)=3x-5x+8=-2x+8\). Then \(6x-(-2x+8)=6x+2x-8=8x-8\). Therefore, \(8x-8\) is the correct option. In \(8x+8\), the sign of the final constant is incorrect because the outer minus changes the sign of every term inside the bracket. Exam tip: When a bracket is preceded by a minus sign, change the signs of all terms inside it.

Related tags

Algebraic ExpressionsNested BracketsPolynomial SimplificationSign RulesClass 9 MathematicsIntroduction To PolynomialsMathematicsClass 9 Mcq

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