What is (-3x-2)-(6x^2-4x+9) ?

The solution to (-3x-2)-(6x^2-4x+9) is -6x^2+x-11

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simplify (-3x-2)-(6x^2-4x+9)

simplify

(- 3 x - 2) - (6 x^{2} - 4 x + 9)

- 6 x^{2} + x - 11

Solution steps

(- 3 x - 2) - (6 x^{2} - 4 x + 9)

Apply rule:

(a) = a

(- 3 x - 2) = - 3 x - 2

= - 3 x - 2 - (6 x^{2} - 4 x + 9)

Apply the distributive law:

- (a - b) = - a + b

- (6 x^{2} - 4 x + 9) = - 6 x^{2} + 4 x - 9

= - 3 x - 2 - 6 x^{2} + 4 x - 9

Group like terms

= - 6 x^{2} - 3 x + 4 x - 2 - 9

Add similar elements:

- 3 x + 4 x = x

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

Subtract the numbers:

- 2 - 9 = - 11

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

64 x^{4}

25 \cdot 32

- \frac{7}{8} - (- \frac{3}{5})

\frac{8}{9} \cdot \frac{3}{4}

\frac{5}{\frac{2}{x} + 4}