Multiply the polynomial: $2 x y (2 x^{4} y + 3 x y - 4 x^{2} y^{2})$

4 x^{5} y^{2} - 6 x^{2} y^{2} - 8 x^{3} y^{3}

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4 x^{4} y^{2} + 6 x^{2} y^{2} - 8 x^{3} y^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 x^{5} y^{2} + 4 x^{2} y^{2} - 8 x^{3} y^{3}

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4 x^{5} y^{2} + 6 x^{2} y^{2} - 8 x^{3} y^{3}

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Solution

The correct option is D $4 x^{5} y^{2} + 6 x^{2} y^{2} - 8 x^{3} y^{3}$
$2 x y (2 x^{4} y + 3 x y - 4 x^{2} y^{2})$
Multiply the coefficients and add the exponents of the variable.
$=$ $2 x y .2 x^{4} y + 2 x y .3 x y - 2 x y .4 x^{2} y^{2}$
$=$ $4 x^{5} y^{2} + 6 x^{2} y^{2} - 8 x^{3} y^{3}$

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