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Which form is obtained by simplifying \(x^3+\frac{2x^2}{x}\) for \(x\neq0\)?

Answer and explanation

Correct answer: \(x^3+2x\)

As \(x\neq0\), \(\frac{2x^2}{x}=2x^{2-1}=2x\). Therefore, the expression becomes \(x^3+2x\). The option \(x^2+2x\) incorrectly changes \(x^3\) to \(x^2\). Exam tip: subtract exponents only within the term where powers of the same base are being divided.

Related tags

PolynomialsAlgebraic ExpressionsSimplificationExponentsMonomial DivisionIntroduction To PolynomialsMathematicsClass 9 Mcq

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