What is (-r-10)-(-4r^3+r^2+7r) ?

The solution to (-r-10)-(-4r^3+r^2+7r) is 4r^3-r^2-8r-10

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simplify (-r-10)-(-4r^3+r^2+7r)

simplify

(- r - 10) - (- 4 r^{3} + r^{2} + 7 r)

4 r^{3} - r^{2} - 8 r - 10

Solution steps

(- r - 10) - (- 4 r^{3} + r^{2} + 7 r)

Apply rule:

(a) = a

(- r - 10) = - r - 10

= - r - 10 - (- 4 r^{3} + r^{2} + 7 r)

Apply the distributive law:

- (- a + b) = a - b

- (- 4 r^{3} + r^{2} + 7 r) = 4 r^{3} - r^{2} - 7 r

= - r - 10 + 4 r^{3} - r^{2} - 7 r

Group like terms

= 4 r^{3} - r^{2} - r - 7 r - 10

Add similar elements:

- r - 7 r = - 8 r

= 4 r^{3} - r^{2} - 8 r - 10

9 x^{2} + 5 x + 8 + 9 x - 7

\frac{- 45}{- 9}

27 + 48 - 12

\frac{x ^{2} + 2 x}{x + 2}

What is (-r-10)-(-4r^3+r^2+7r) ?
The solution to (-r-10)-(-4r^3+r^2+7r) is 4r^3-r^2-8r-10