-(-2b%5E2-4b%2B5).jpeg "(4b^2-8b+11)-(-2b^2-4b+5)")
Simplifying the Expression (4b^2 - 8b + 11) - (-2b^2 - 4b + 5)
This expression involves subtracting two trinomials. To simplify it, we can follow these steps:
Step 1: Distribute the Negative Sign
The minus sign in front of the second trinomial means we multiply each term inside the parentheses by -1:
(4b^2 - 8b + 11) + (2b^2 + 4b - 5)
Step 2: Combine Like Terms
Now, we can combine terms with the same variables and exponents:
- b^2 terms: 4b^2 + 2b^2 = 6b^2
- b terms: -8b + 4b = -4b
- Constant terms: 11 - 5 = 6
Step 3: Write the Simplified Expression
Putting it all together, the simplified expression is:
6b^2 - 4b + 6
Therefore, (4b^2 - 8b + 11) - (-2b^2 - 4b + 5) simplifies to 6b^2 - 4b + 6.