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Addition and Subtraction of Algebraic Expression

Subtract the ...

Question

Subtract the second expression from the first:
$5 x^{2} - 6 x y + 2$ and $3 x^{2} + 10 x y - 8$ .

x^{2} - 16 x y - 10

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2 x^{2} + 86 x y + 10

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x^{2} - 8 x y - 50

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2 x^{2} - 16 x y + 10

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Solution

The correct option is D $2 x^{2} - 16 x y + 10$
$(5 x^{2} - 6 x y + 2) - (3 x^{2} + 10 x y - 8)$
$= 5 x^{2} - 6 x y + 2 - 3 x^{2} - 10 x y + 8$
$= 2 x^{2} - 16 x y + 10$

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