State whether the following statement is true or false.
After Subtracting $- x^{4} + 4 x^{3} y - 8 x^{2} y^{2} + 2 x y^{3} - 4 y^{4}$ from $- 5 x^{3} y + x^{2} y^{2} - 6 y^{4}$ we get, $x^{4} - 9 x^{3} y + 9 x^{2} y^{2} - 2 x y^{3} - 2 y^{4}$

True

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False

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Solution

The correct option is A True
$- (- x^{4} + 4 x^{3} y - 8 x^{2} y^{2} + 2 x y^{3} - 4 y^{4})$ + $(- 5 x^{3} y + x^{2} y^{2} - 6 y^{4})$ $= x^{4} - 9 x^{3} y + 9 x^{2} y^{2} - 2 x y^{3} - 2 y^{4}$

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