Solve (3n^3 - 4n^2 - 3) - (-6n^2 - 3n - 8)

Question

Simplify the expression

3 n^{3} + 2 n^{2} + 5 + 3 n

Evaluate

(3 n^{3} - 4 n^{2} - 3) - (- 6 n^{2} - 3 n - 8)

Remove the parentheses

3 n^{3} - 4 n^{2} - 3 - (- 6 n^{2} - 3 n - 8)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

3 n^{3} - 4 n^{2} - 3 + 6 n^{2} + 3 n + 8

Add the terms

More Steps

Evaluate

- 4 n^{2} + 6 n^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 4 + 6) n^{2}

Add the numbers

2 n^{2}

3 n^{3} + 2 n^{2} - 3 + 3 n + 8

Solution

3 n^{3} + 2 n^{2} + 5 + 3 n

Show Solution

Find the roots

n \approx - 1.113236

Evaluate

(3 n^{3} - 4 n^{2} - 3) - (- 6 n^{2} - 3 n - 8)

To find the roots of the expression,set the expression equal to 0

(3 n^{3} - 4 n^{2} - 3) - (- 6 n^{2} - 3 n - 8) = 0

Remove the parentheses

3 n^{3} - 4 n^{2} - 3 - (- 6 n^{2} - 3 n - 8) = 0

Subtract the terms

More Steps

Simplify

3 n^{3} - 4 n^{2} - 3 - (- 6 n^{2} - 3 n - 8)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

3 n^{3} - 4 n^{2} - 3 + 6 n^{2} + 3 n + 8

Add the terms

More Steps

Evaluate

- 4 n^{2} + 6 n^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 4 + 6) n^{2}

Add the numbers

2 n^{2}

3 n^{3} + 2 n^{2} - 3 + 3 n + 8

Add the numbers

3 n^{3} + 2 n^{2} + 5 + 3 n

3 n^{3} + 2 n^{2} + 5 + 3 n = 0

Solution

n \approx - 1.113236

Show Solution