# Chapter 5 - Exponents and Polynomials - 5.1 - Addition and Subtraction of Polynomials - Problem Set 5.1: 39

-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

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