# How do you simplify (10x^3 - 4x^2 + 3x) - (x^3 - x^2 + 1)?

Aug 10, 2016

$9 {x}^{3} - 3 {x}^{2} + 3 x - 1$

#### Explanation:

Remove the brackets, notice that the minus sign will change the signs inside the second bracket:

$\left(10 {x}^{3} - 4 {x}^{2} + 3 x\right) - \left({x}^{3} - {x}^{2} + 1\right)$

=$10 {x}^{3} - 4 {x}^{2} + 3 x - {x}^{3} + {x}^{2} - 1 \text{ collect like terms}$

=$9 {x}^{3} - 3 {x}^{2} + 3 x - 1$