How do you simplify (7x^3 - 1) - (15x^3 + 4x^2 - x + 3)?

Feb 14, 2017

See the entire simplification process below:

Explanation:

First, remove all the terms from parenthesis. Be sure to handle the signs of the individual terms correctly:

$7 {x}^{3} - 1 - 15 {x}^{3} - 4 {x}^{2} + x - 3$

Next, rewrite the expression to group like terms:

$7 {x}^{3} - 15 {x}^{3} - 4 {x}^{2} + x - 3 - 1$

Now, combine like terms to complete the simplification:

$\left(7 - 15\right) {x}^{3} - 4 {x}^{2} + x - 3$

$- 8 {x}^{3} - 4 {x}^{2} + x - 3$