What is (-2u+5v-3w^2)-(-3u-2v+2w) ?

The solution to (-2u+5v-3w^2)-(-3u-2v+2w) is u+7v-3w^2-2w

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simplify (-2u+5v-3w^2)-(-3u-2v+2w)

simplify

(- 2 u + 5 v - 3 w^{2}) - (- 3 u - 2 v + 2 w)

u + 7 v - 3 w^{2} - 2 w

Solution steps

(- 2 u + 5 v - 3 w^{2}) - (- 3 u - 2 v + 2 w)

Apply rule:

(a) = a

(- 2 u + 5 v - 3 w^{2}) = - 2 u + 5 v - 3 w^{2}

= - 2 u + 5 v - 3 w^{2} - (- 3 u - 2 v + 2 w)

Apply the distributive law:

- (- a - b) = a + b

- (- 3 u - 2 v + 2 w) = 3 u + 2 v - 2 w

= - 2 u + 5 v - 3 w^{2} + 3 u + 2 v - 2 w

Group like terms

= - 2 u + 3 u + 5 v + 2 v - 3 w^{2} - 2 w

Add similar elements:

- 2 u + 3 u = u

= u + 5 v + 2 v - 3 w^{2} - 2 w

Add similar elements:

5 v + 2 v = 7 v

= u + 7 v - 3 w^{2} - 2 w

x^{2} + 27 x + 180

\frac{1}{3 x + 2} + \frac{x}{x + 1}

lo g_{2} (\frac{10}{3})

(x - h)^{4}

\frac{i - 6}{3}

What is (-2u+5v-3w^2)-(-3u-2v+2w) ?
The solution to (-2u+5v-3w^2)-(-3u-2v+2w) is u+7v-3w^2-2w