Simplify (-x^2+9xy)-(x^2+6xy-8y^2)

$(- x^{2} + 9 x y) - (x^{2} + 6 x y - 8 y^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$- x^{2} + 9 x y - x^{2} - (6 x y) - (- 8 y^{2})$

Simplify.

Multiply $6$ by $- 1$ .

$- x^{2} + 9 x y - x^{2} - 6 (x y) - (- 8 y^{2})$

Multiply $- 8$ by $- 1$ .

$- x^{2} + 9 x y - x^{2} - 6 (x y) + 8 y^{2}$

$- x^{2} + 9 x y - x^{2} - 6 x y + 8 y^{2}$

$- x^{2} + 9 x y - x^{2} - 6 x y + 8 y^{2}$

Step 2

Simplify by adding terms.

Subtract $x^{2}$ from $- x^{2}$ .

$- 2 x^{2} + 9 x y - 6 x y + 8 y^{2}$

Subtract $6 x y$ from $9 x y$ .

$- 2 x^{2} + 3 x y + 8 y^{2}$

$- 2 x^{2} + 3 x y + 8 y^{2}$

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