Answer :

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.