What is (-9x^2-2x)-(-9x^2-3x) ?

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

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simplify (-9x^2-2x)-(-9x^2-3x)

simplify

(- 9 x^{2} - 2 x) - (- 9 x^{2} - 3 x)

x

Solution steps

(- 9 x^{2} - 2 x) - (- 9 x^{2} - 3 x)

Apply rule:

(a) = a

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

= - 9 x^{2} - 2 x - (- 9 x^{2} - 3 x)

Apply the distributive law:

- (- a - b) = a + b

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

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

Group like terms

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

Add similar elements:

- 9 x^{2} + 9 x^{2} = 0

= - 2 x + 3 x

Add similar elements:

- 2 x + 3 x = x

= x

30 \div 5

A B + A (B + C) + B (B + C)

\frac{15}{40}

12 + 27 - 48

\frac{28}{35}