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Sagot :
To simplify the expression [tex]\(\left(-3x^2 + x + 5\right) - \left(4x^2 - 2x\right)\)[/tex], we need to follow these steps:
1. Distribute the negative sign inside the second set of parentheses:
[tex]\[ -3x^2 + x + 5 - 4x^2 + 2x \][/tex]
2. Combine like terms:
- Combine the [tex]\(x^2\)[/tex] terms: [tex]\(-3x^2 - 4x^2 = -7x^2\)[/tex]
- Combine the [tex]\(x\)[/tex] terms: [tex]\(x + 2x = 3x\)[/tex]
- There is only one constant term, which is [tex]\(5\)[/tex]
3. Therefore, the simplified expression is:
[tex]\[ -7x^2 + 3x + 5 \][/tex]
So, the correct answer is:
[tex]\[ \boxed{-7x^2 + 3x + 5} \][/tex]
Thus, the correct choice is:
[tex]\[ \boxed{A} \][/tex]
1. Distribute the negative sign inside the second set of parentheses:
[tex]\[ -3x^2 + x + 5 - 4x^2 + 2x \][/tex]
2. Combine like terms:
- Combine the [tex]\(x^2\)[/tex] terms: [tex]\(-3x^2 - 4x^2 = -7x^2\)[/tex]
- Combine the [tex]\(x\)[/tex] terms: [tex]\(x + 2x = 3x\)[/tex]
- There is only one constant term, which is [tex]\(5\)[/tex]
3. Therefore, the simplified expression is:
[tex]\[ -7x^2 + 3x + 5 \][/tex]
So, the correct answer is:
[tex]\[ \boxed{-7x^2 + 3x + 5} \][/tex]
Thus, the correct choice is:
[tex]\[ \boxed{A} \][/tex]
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