What is (-x^2+9xy)-(x^2+6xy-8y^2) ?

The solution to (-x^2+9xy)-(x^2+6xy-8y^2) is -2x^2+3xy+8y^2

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

(- x^{2} + 9 x y) = - x^{2} + 9 x y

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

Apply the distributive law:

- (a + b) = - a - b

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

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

Group like terms

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

Add similar elements:

- x^{2} - x^{2} = - 2 x^{2}

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

Add similar elements:

9 x y - 6 x y = 3 x y

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

12 n^{3} - 3 n^{2} + 16 n - 4

x^{2} + 8 x + 15 > 0

\frac{x ^{2} - 4}{4} = \frac{3 + 2 x}{2}

8 x^{\frac{3}{2}}

4 \cdot \frac{π}{4}

What is (-x^2+9xy)-(x^2+6xy-8y^2) ?
The solution to (-x^2+9xy)-(x^2+6xy-8y^2) is -2x^2+3xy+8y^2