(3a+2b−7)−(4b−10) In Standard Form

Jasonbradley

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Jun 16, 2024

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Simplifying Expressions: (3a + 2b - 7) - (4b - 10)

This article will guide you through simplifying the expression (3a + 2b - 7) - (4b - 10) and expressing it in standard form.

Understanding the Process

1. Distribute the negative sign: The minus sign in front of the second set of parentheses means we multiply each term inside by -1.

   (3a + 2b - 7) -1(4b - 10)

2. Simplify: Multiply the -1 through the parentheses.

   3a + 2b - 7 - 4b + 10

3. Combine like terms: Group together the terms with the same variables and constants.

   (3a) + (2b - 4b) + (-7 + 10)

4. Simplify further: Combine the coefficients of the like terms.

   3a - 2b + 3

Standard Form

The expression 3a - 2b + 3 is now in standard form. This form typically arranges terms with the highest degree first (in this case, 'a' has a degree of 1), followed by terms with lower degrees, and lastly, the constant term.

Therefore, the simplified standard form of the expression (3a + 2b - 7) - (4b - 10) is 3a - 2b + 3.