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$(20 x^{2} + 40 x^{2} - 50 x) (50 x^{3} + 22 x - 40 x^{2})$

3000 x^{5} - 4900 x^{4} + 3320 x^{3} - 1100 x^{2}

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3000 x^{5} + 4900 x^{4} - 3320 x^{3} - 1100 x^{2}

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3000 x^{5} - 900 x^{4} + 3320 x^{3} - 1100 x^{2}

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None of these

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Solution

The correct option is A $3000 x^{5} - 4900 x^{4} + 3320 x^{3} - 1100 x^{2}$
$(20 x^{2} + 40 x^{2} - 50 x) (50 x^{3} + 22 x - 40 x^{2})$
$= (60 x^{2} - 50 x) (50 x^{3} + 22 x - 40 x^{2})$
$= 3000 x^{5} + 1320 x^{3} - 2400 x^{4} - 2500 x^{4} - 1100 x^{2} + 2000 x^{3}$
$= 3000 x^{5} - 4900 x^{4} + 3320 x^{3} - 1100 x^{2}$

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