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What is obtained by simplifying (x^3(x^2-5)-x^5+9x^3)?

Answer and explanation

Correct answer: \(4x^3\)

First distribute: \(x^3(x^2-5)=x^5-5x^3\). Thus, the expression becomes \(x^5-5x^3-x^5+9x^3\). Here \(x^5-x^5=0\) and \(-5x^3+9x^3=4x^3\), so the correct answer is \(4x^3\). \(x^5+4x^3\) is incorrect because the \(x^5\) terms cancel each other. Exam tip: after opening brackets, combine only like terms with the same power of the variable.

Related tags

PolynomialsAlgebraic SimplificationLike TermsDistributive PropertyClass 9 MathematicsDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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