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Explain the error below.$$\begin{aligned}\left(12 x^{2}-4\right)-\left(3 x^{2}-1\right) &=12 x^{2}-4-3 x^{2}-1 \\&=9 x^{2}-5\end{aligned}$$
$-3 x^{2}+1$
Algebra
Chapter 5
Exponents and Polynomials
Section 5
Adding and Subtracting Polynomials
Polynomials
Campbell University
McMaster University
Harvey Mudd College
Idaho State University
Lectures
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in this problem, we're being asked to explain what the ever is for this particular person's work. So they were originally given the polynomial 12 X squared minus four, and they were subtracting three X squared, minus one from it. Well, let's think about how we subtract falling. No meals are first prime facie. Those terms do not change. They got brought down, which, if you know this, that's what they did. They had 12 X squared, minus four. Then remember, for the polynomial that's getting subtracted by, in other words, the second set of parentheses. We need to change both of those signs. Well, that would mean that the positive three X squared becomes negative three x squared, which they did, and that would mean the negative one will become positive one. However, if you know this, they left that as a negative one. So the ever is they did not distribute that negative to both terms In the French theses. The negative one should be a positive one, because again they need to change the signs of each term in that second set of parentheses,
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