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Division of a Polynomial by a Monomial

Divide :- ...

Question

Divide :- ( $24 x^{2} y^{2} - 4 x y)$ by $2 x y$ .

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Solution

To find: $\frac{24 x^{2} y^{2} - 4 x y}{2 x y}$

Now,

$24 x^{2} y^{2} - 4 x y = 4 x y (6 x y - 1)$ {taking common}

$\frac{(24 x^{2} y^{2} - 4 x y)}{2 x y} = \frac{4 x y (6 x y - 1)}{2 x y} = 2 (6 x y - 1) = 12 x y - 2$

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