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Is it true that ${2 x}^{3} - 3 x^{2} y + 2 x y^{2} + 3 y^{3}$ should be subtracted from $x^{3} - 2 x^{2} + 3 x y^{2} + 4 y^{3}$ to get $x^{3} - x^{2} y - x y^{2} - y^{3}$ ?

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True

False

answer is A.

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Detailed Solution

Subtracting,

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

and

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

.
Subtracting the given expressions after combining like terms.
Question Image

Therefore, our statement is true.
Hence, option 1 is correct.

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