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Addition of Algebraic Expression

Subtract the ...

Question

Subtract the sum of $x^{2} - 5 x y + 2 y^{2}$ and $y^{2} - 2 x y - 3 x^{2}$ from the sum of $6 x^{2} - 8 x y - y^{2}$ and $2 x y - 2 y^{2} - x^{2}$ .

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Q. From the sum of x² + 3y² − 6xy, 2x² − y² + 8xy, y² + 8 and x² − 3xy subtract −3x² + 4y² − xy + x − y + 3.

Q. Add x² + 2xy + y² to the sum of x² − 3y² and 2x² − y²+ 9.

Q. Form an equation

a x^{2} + b x y + c y^{2}

by subtracting the sum of

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

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

from the sum of

6 x^{2} - 8 x y - y^{2}

2 x y - 2 y^{2} - x^{2}

a + b + c

Q. What must be subtracted from

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

3 x^{2} - 2 x y - \frac{7}{2} y^{2}

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

(4 x^{2} - 5 x y + 8 y^{2})

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