Answer
-3$x^{3}$ + 2$x^{2}$ -11
Work Step by Step
We write an expression to express this problem:
(-7$x^{3}$ + $x^{2}$ + 6x - 12) - (-4$x^{3}$ - $x^{2}$ + 6x - 1) =
Use the distributive property:
-7$x^{3}$ + $x^{2}$ + 6x - 12 + 4$x^{3}$ + $x^{2}$ - 6x + 1 =
Group similar terms.
(-7$x^{3}$ + 4$x^{3}$) + ($x^{2}$ + $x^{2}$) + (6x - 6x) + (-12 + 1) =
Simplify.
-3$x^{3}$ + 2$x^{2}$ -11