%E2%88%92(4b%E2%88%9210).jpeg "(3a+2b−7)−(4b−10)")
Simplifying the Expression: (3a + 2b - 7) - (4b - 10)
In mathematics, simplifying expressions often involves combining like terms and applying the order of operations. Let's break down how to simplify the expression: (3a + 2b - 7) - (4b - 10).
Step 1: Distribute the Negative Sign
The minus sign in front of the second parenthesis indicates that we need to distribute it to each term inside the parenthesis:
(3a + 2b - 7) - (4b - 10) = 3a + 2b - 7 - 4b + 10
Step 2: Combine Like Terms
Now, we can identify and combine terms that share the same variable or are constants:
- a terms: 3a
- b terms: 2b - 4b = -2b
- Constant terms: -7 + 10 = 3
Step 3: Final Simplified Expression
Combining all the simplified terms, we arrive at the final answer:
3a - 2b + 3
Therefore, the simplified expression of (3a + 2b - 7) - (4b - 10) is 3a - 2b + 3.