What is (3x^2-4y^2+5xy)+(2y^2-3x^2-4xy) ?

The solution to (3x^2-4y^2+5xy)+(2y^2-3x^2-4xy) is -2y^2+xy

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simplify (3x^2-4y^2+5xy)+(2y^2-3x^2-4xy)

simplify

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

- 2 y^{2} + x y

Solution steps

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

Simplify

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

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

Group like terms

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

Add similar elements:

3 x^{2} - 3 x^{2} = 0

= - 4 y^{2} + 2 y^{2} + 5 x y - 4 x y

Add similar elements:

- 4 y^{2} + 2 y^{2} = - 2 y^{2}

= - 2 y^{2} + 5 x y - 4 x y

Add similar elements:

5 x y - 4 x y = x y

= - 2 y^{2} + x y

x^{3} - 2 x^{2} - 33 x + 90

\frac{5}{6} \cdot 12

21 n^{2} + 45 n - 54

x^{3} + 6 x^{2} + 5 x

- \frac{1}{3}

What is (3x^2-4y^2+5xy)+(2y^2-3x^2-4xy) ?
The solution to (3x^2-4y^2+5xy)+(2y^2-3x^2-4xy) is -2y^2+xy