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What should be subtracted from $x^{2} - 4 x y + 2 y^{2}$ to get $- x^{2} + x y - 3 y^{2}$ ?

Class 8Adding and Subtracting ExpressionsAlgebra

A $- 2 x^{2} + 5 x y - 5 y^{2}$
B $2 x^{2} - 5 x y + 5 y^{2}$
C $2 x^{2} - 3 x y - y^{2}$
D $2 x^{2} + 5 x y + 5 y^{2}$

Step-by-Step Solution

Required

= (x^{2} - 4 x y + 2 y^{2}) - (- x^{2} + x y - 3 y^{2}) = 2 x^{2} - 5 x y + 5 y^{2}

. The second option is the result with the order reversed.

Answer: B)

2 x^{2} - 5 x y + 5 y^{2}

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