Question
2. [0/1 Points] DETAILS MYNOTES TGEIALG6 5. Simplify. \( -\left(5 b^{2}-7 b+5\right) \) \( \times \)
Ask by Bernard Reese. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
-5b^{2} + 7b - 5
\]
Solution
To simplify the expression:
\[
- \left(5b^{2} - 7b + 5\right)
\]
Distribute the negative sign to each term inside the parentheses:
\[
-5b^{2} + 7b - 5
\]
**Simplified Expression:**
\[
-5b^{2} + 7b - 5
\]
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The Deep Dive
When simplifying \( -\left(5 b^{2}-7 b+5\right) \), you distribute the negative sign across the terms inside the parentheses. This changes the signs of each term, resulting in \( -5 b^{2} + 7 b - 5 \). So, your final simplified expression is \( -5 b^{2} + 7 b - 5 \). Now, if you encounter any expressions involving polynomials in the future, remember that distributing the negative and combining like terms are your best buddies! Keep an eye on those coefficients and keep your signs straight to avoid any pesky errors.