What is 5x^2+9xy-6xy+7y^2-x^2 ?

The solution to 5x^2+9xy-6xy+7y^2-x^2 is 4x^2+3xy+7y^2

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simplify 5x^2+9xy-6xy+7y^2-x^2

simplify

5 x^{2} + 9 x y - 6 x y + 7 y^{2} - x^{2}

4 x^{2} + 3 x y + 7 y^{2}

Solution steps

5 x^{2} + 9 x y - 6 x y + 7 y^{2} - x^{2}

Add similar elements:

9 x y - 6 x y = 3 x y

= 5 x^{2} + 3 x y + 7 y^{2} - x^{2}

Group like terms

= 5 x^{2} - x^{2} + 3 x y + 7 y^{2}

Add similar elements:

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

= 4 x^{2} + 3 x y + 7 y^{2}

3 (3 h) + 9 h

2 x + 3 x

6 \times \frac{2}{2}

\frac{6}{5} \div \frac{1}{5}

\frac{2 - 2}{2}

What is 5x^2+9xy-6xy+7y^2-x^2 ?
The solution to 5x^2+9xy-6xy+7y^2-x^2 is 4x^2+3xy+7y^2