Solve 3(2x^2+xy+1/3)-(3x^2+4xy-y^2)

Evaluate

3 (2 x^{2} + x y + \frac{1}{3}) - (3 x^{2} + 4 x y - y^{2})

Multiply the terms

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6 x^{2} + 3 x y + 1 - (3 x^{2} + 4 x y - y^{2})

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

6 x^{2} + 3 x y + 1 - 3 x^{2} - 4 x y + y^{2}

Subtract the terms

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3 x^{2} + 3 x y + 1 - 4 x y + y^{2}

Solution

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3 x^{2} - x y + 1 + y^{2}

Simplify the expression