Sure, let's simplify the given algebraic expression step-by-step. The expression is:
[tex]\[
-3x^2 + 7x - 4 - 10x + x^2
\][/tex]
We want to combine like terms (terms with the same degree) to simplify this expression. Here’s how to do it in detail:
1. Identify and combine the [tex]\(x^2\)[/tex] terms:
[tex]\[
-3x^2 + x^2
\][/tex]
Adding these together:
[tex]\[
-3x^2 + x^2 = -2x^2
\][/tex]
2. Identify and combine the [tex]\(x\)[/tex] terms:
[tex]\[
7x - 10x
\][/tex]
Adding these together:
[tex]\[
7x - 10x = -3x
\][/tex]
3. Identify and combine the constant terms:
[tex]\[
-4
\][/tex]
Since there are no other constant terms to combine, it remains:
[tex]\[
-4
\][/tex]
4. Combine all simplified parts together:
[tex]\[
-2x^2 - 3x - 4
\][/tex]
So, the simplified form of the given expression is:
[tex]\[
-2x^2 - 3x - 4
\][/tex]
This is the simplified answer for the given algebraic expression.
