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Simplify each expression, if possible.$$c^{3}-3 c^{2}+9 c+3 c^{2}-9 c+27$$
$c^{3}+27$
Algebra
Chapter 1
An Introduction to Algebra
Section 9
Simplifying Algebraic Expressions Using Properties of Real Numbers
The Language of Algebra
Equations and Inequalities
Functions
Linear Functions
Quadratic Functions
Polynomials
Oregon State University
McMaster University
Harvey Mudd College
Idaho State University
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we're being asked to simplify the given expression. Well, to do that, we're going to need to combine our late terms. So let's start with our first term. See to the third. Well, as you can see, there's no other term with a seat to the third in it. Therefore, it has no like term. So we're just gonna bring it down into our final answer. Now our next term is negative. Three C squared. Well, it has a like term, a positive three c squared. So now we can combine those coefficients, while negative three plus three is equal to zero, which means those terms are going to cancel each other out now our next, like a next term. Rather is nine C while it has a life term, a negative nine c. So let's combine those coefficients. Well, nine minus nine is zero. So that will also cancel these terms out. And then we have our last term, which is positive 27 which does not have a late term. So we simply bring that down into our final answer. So now that we've combined
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