(3a+2b−7)−(4b−10)

less than a minute read Jun 16, 2024
(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.

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