How do you simplify (8n^4-6n^2-4)-(6n^2+4-n^4)+(2n^2+3n^4-4-2n)?

Dec 14, 2016

$12 {n}^{4} - 10 {n}^{2} - 2 n - 12$

Explanation:

Step 1) Eliminate all of the parenthesis ensuring you handle all signs correctly:

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

Step 2) Combine like terms:

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

Step 3) Combine like terms:

$\left(8 + 1 + 3\right) {n}^{4} + \left(- 6 - 6 + 2\right) {n}^{2} - 2 n - 12$

$12 {n}^{4} - 10 {n}^{2} - 2 n - 12$