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What is the simplified form of (3x-[4x-{2x-5}])?

Answer and explanation

Correct answer: \(x-5\)

First simplify the innermost bracket: \(4x-(2x-5)=4x-2x+5=2x+5\). Therefore, the complete expression becomes \(3x-(2x+5)=3x-2x-5=x-5\). Hence, \(x-5\) is correct. \(x+5\) results from incorrectly handling the minus sign before the outer bracket. Exam tip: When a bracket is preceded by a minus sign, change the signs of all terms inside it.

Related tags

Algebraic ExpressionsPolynomialsNested BracketsSign ConventionSimplificationIntroduction To PolynomialsMathematicsClass 9 Mcq

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