What is (2x-3x^2)-(6x^2-6x) ?

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

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simplify (2x-3x^2)-(6x^2-6x)

simplify

(2 x - 3 x^{2}) - (6 x^{2} - 6 x)

- 9 x^{2} + 8 x

Solution steps

(2 x - 3 x^{2}) - (6 x^{2} - 6 x)

Apply rule:

(a) = a

(2 x - 3 x^{2}) = 2 x - 3 x^{2}

= 2 x - 3 x^{2} - (6 x^{2} - 6 x)

Apply the distributive law:

- (a - b) = - a + b

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

= 2 x - 3 x^{2} - 6 x^{2} + 6 x

Add similar elements:

- 3 x^{2} - 6 x^{2} = - 9 x^{2}

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

Group like terms

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

Add similar elements:

2 x + 6 x = 8 x

= - 9 x^{2} + 8 x

\frac{90}{10}

\frac{3}{x} - \frac{6}{x}

- - 92

\frac{1}{6 ( - \frac{1}{6 x} )}

\frac{10}{13 + 8}