The correct result is 3x^2 - 6 - x^3.
<h3>What is Danielle's mistake?</h3>
A polynomial is an expression that contains values that is raised to a given power. The rules of algebra are applied when we are dealing with polynomials of any degree. There are several kinds of polynomials depending on the order to which the term is raised in the expression.
An expression is cubic when the terms are raised to power 2 and the expression is quadratic when the terms are raised to power 2 and so on.
In this case, we have the expressions; x^3 - 2x^2 and x^2 -6. We are expected to subtract x^3 - 2x^2 from x^2 -6.
The mistake of Danielle was that x^2 -6 was subtracted from x^3 - 2x^2 rather than x^3 - 2x^2 from x^2 -6.
The correct work is;
x^2 - 6 - (x^3 - 2x^2)
x^2 - 6 - x^3 + 2x^2
3x^2 - 6 - x^3
Learn more about polynomials:brainly.com/question/11536910
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