Answer :
To match each sum or difference with its simplified answer, let's analyze each expression given:
1. Expression 1: [tex]\(3x^3 - 5x + 10\)[/tex]
- This polynomial is already in its simplified form since it doesn't have like terms to combine.
2. Expression 2: [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
- Similarly, this polynomial is also in its simplest form with no like terms to combine.
3. Expression 3: [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
- This expression is already simplified. There are no like terms for further simplification.
4. Expression 4: [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
- No like terms are present here, so this polynomial is also in its simplest form.
These polynomial expressions are all already in their simplified forms. Each expression listed remains unchanged, as they contain no like terms that need further combining. Thus, you can match each sum or difference directly with their respective expressions as already given:
- Match 1: [tex]\(3x^3 - 5x + 10\)[/tex]
- Match 2: [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
- Match 3: [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
- Match 4: [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
Each sum or difference expression is already in its simplest form, meaning the expressions remain unchanged and there is nothing further to simplify.
1. Expression 1: [tex]\(3x^3 - 5x + 10\)[/tex]
- This polynomial is already in its simplified form since it doesn't have like terms to combine.
2. Expression 2: [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
- Similarly, this polynomial is also in its simplest form with no like terms to combine.
3. Expression 3: [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
- This expression is already simplified. There are no like terms for further simplification.
4. Expression 4: [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
- No like terms are present here, so this polynomial is also in its simplest form.
These polynomial expressions are all already in their simplified forms. Each expression listed remains unchanged, as they contain no like terms that need further combining. Thus, you can match each sum or difference directly with their respective expressions as already given:
- Match 1: [tex]\(3x^3 - 5x + 10\)[/tex]
- Match 2: [tex]\(7x^3 - 6x^2 - 4x + 7\)[/tex]
- Match 3: [tex]\(3x^3 - 6x^2 - 2x + 7\)[/tex]
- Match 4: [tex]\(7x^3 + 6x^2 - 4x + 7\)[/tex]
Each sum or difference expression is already in its simplest form, meaning the expressions remain unchanged and there is nothing further to simplify.
