What is (-5v^3-9v^2+6v)-(-5v^3+9v^2-6v) ?

The solution to (-5v^3-9v^2+6v)-(-5v^3+9v^2-6v) is -18v^2+12v

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simplify (-5v^3-9v^2+6v)-(-5v^3+9v^2-6v)

simplify

(- 5 v^{3} - 9 v^{2} + 6 v) - (- 5 v^{3} + 9 v^{2} - 6 v)

- 18 v^{2} + 12 v

Solution steps

(- 5 v^{3} - 9 v^{2} + 6 v) - (- 5 v^{3} + 9 v^{2} - 6 v)

Apply rule:

(a) = a

(- 5 v^{3} - 9 v^{2} + 6 v) = - 5 v^{3} - 9 v^{2} + 6 v

= - 5 v^{3} - 9 v^{2} + 6 v - (- 5 v^{3} + 9 v^{2} - 6 v)

Apply the distributive law:

- (- a + b) = a - b

- (- 5 v^{3} + 9 v^{2} - 6 v) = 5 v^{3} - 9 v^{2} + 6 v

= - 5 v^{3} - 9 v^{2} + 6 v + 5 v^{3} - 9 v^{2} + 6 v

Group like terms

= - 5 v^{3} + 5 v^{3} - 9 v^{2} - 9 v^{2} + 6 v + 6 v

Add similar elements:

- 5 v^{3} + 5 v^{3} = 0

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

Add similar elements:

- 9 v^{2} - 9 v^{2} = - 18 v^{2}

= - 18 v^{2} + 6 v + 6 v

Add similar elements:

6 v + 6 v = 12 v

= - 18 v^{2} + 12 v

2^{29}

\frac{sin ^{2} ( x )}{cos ( x )} + cos (x)

(x - a) (x - b)

(- \frac{7}{2} z + 4) + (\frac{1}{5} z - 15)

(x + 2)^{2} - 3

What is (-5v^3-9v^2+6v)-(-5v^3+9v^2-6v) ?
The solution to (-5v^3-9v^2+6v)-(-5v^3+9v^2-6v) is -18v^2+12v