What is (-6x^2+6x)-(5x^2-9x-10) ?

The solution to (-6x^2+6x)-(5x^2-9x-10) is -11x^2+15x+10

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simplify (-6x^2+6x)-(5x^2-9x-10)

simplify

(- 6 x^{2} + 6 x) - (5 x^{2} - 9 x - 10)

- 11 x^{2} + 15 x + 10

Solution steps

(- 6 x^{2} + 6 x) - (5 x^{2} - 9 x - 10)

Apply rule:

(a) = a

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

= - 6 x^{2} + 6 x - (5 x^{2} - 9 x - 10)

Apply the distributive law:

- (a - b) = - a + b

- (5 x^{2} - 9 x - 10) = - 5 x^{2} + 9 x + 10

= - 6 x^{2} + 6 x - 5 x^{2} + 9 x + 10

Group like terms

= - 6 x^{2} - 5 x^{2} + 6 x + 9 x + 10

Add similar elements:

- 6 x^{2} - 5 x^{2} = - 11 x^{2}

= - 11 x^{2} + 6 x + 9 x + 10

Add similar elements:

6 x + 9 x = 15 x

= - 11 x^{2} + 15 x + 10

lo g_{2} (6) - lo g_{2} (24)

3 6^{2}

x^{5} y^{3} + x^{3} y

\frac{4}{9} \div \frac{5}{4}

- \frac{9}{10} \cdot 3

What is (-6x^2+6x)-(5x^2-9x-10) ?
The solution to (-6x^2+6x)-(5x^2-9x-10) is -11x^2+15x+10