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Addition and Subtraction of Algebraic Expression

From the sum ...

Question

From the sum of $3 y^{2} - 5 x^{2} - 3 y x$ and $3 x^{2} - 3 y^{2} + 4 x y - 1$ subtract the sum of $11 x^{2} - 2 y^{2} - 3 x y .$ Write the expression one below the corner for adding and subtracting.

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Solution

We have,

$3 y^{2} - 5 x - 3 x y s u m 3 x^{2} - 3 y^{2} + 4 x y - 1$

$\Rightarrow 3 y^{2} - 5 x - 3 x y + 3 x^{2} - 3 y^{2} + 4 x y - 1$

$\Rightarrow 3 x^{2} + x y - 5 x - 1$

According to given question.

$3 x^{2} + x y - 5 x - 1 - (11 x^{2} - 2 y^{2} - 3 x y)$

$= 3 x^{2} + x y - 5 x - 1 - 11 x^{2} + 2 y + 3 x y$

$= - 8 x^{2} + 4 x y - 5 x + 2 y - 1$
Hence, this is the answer.

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