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Mathematics

$\dfrac{3x}{y^{-1}} + \dfrac{2y}{x^{-1}}$ is equal to :
6xy
3x² + 2y²
5xy
$\dfrac{6}{xy}$

Indices

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Answer

Simplifying the expression :

$\Rightarrow \dfrac{3x}{y^{-1}} + \dfrac{2y}{x^{-1}} = \dfrac{3x}{\dfrac{1}{y}} + \dfrac{2y}{\dfrac{1}{x}} \\[1em] = 3xy + 2xy \\[1em] = 5xy.$

Hence, Option 3 is the correct option.

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