Which of the following polynomial is the result of given polynomial expression?
$(4 x^{2} - 5 y^{2}) (x^{2} + 2 y^{2})$

4 x y^{4} + x^{2} y^{2} - 10 y^{4}

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4 x^{4} + 3 x^{2} y^{2} - 10 y^{4}

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4 x y^{4} + 3 x^{2} y^{2} + 10 y^{4}

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4 x^{4} + 3 x^{2} x y^{2} - 10 y^{3}

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Solution

The correct option is A $4 x^{4} + 3 x^{2} y^{2} - 10 y^{4}$
$(4 x^{2} - 5 y^{2}) (x^{2} + 2 y^{2})$

$= 4 x^{4} + 8 x^{2} y^{2} - 5 x^{2} y^{2} - 10 y^{4}$

$= 4 x^{4} + 3 x^{2} y^{2} - 10 y^{4}$

Hence option $^{'} B^{'}$ is the answer.

A polynomial is an expression consisting of variables and coefficient that involves only the operations of addition, subtraction and multiplication, and non-negative integer exponents.
$∴$ This is polynomial.

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