-(4b-10)-in-standard-form.jpeg "(3a+2b-7)-(4b-10) In Standard Form")
Simplifying Expressions: (3a + 2b - 7) - (4b - 10)
This article will walk you through the process of simplifying the expression (3a + 2b - 7) - (4b - 10) and writing it in standard form.
Understanding the Problem
The expression (3a + 2b - 7) - (4b - 10) involves subtracting one set of terms from another. To simplify it, we need to apply the distributive property and combine like terms.
Step-by-Step Solution
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Distribute the negative sign: Remember that subtracting an expression is the same as adding the negative of that expression. So, we rewrite the expression as: 3a + 2b - 7 + (-1)(4b - 10)
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Simplify: Distribute the -1: 3a + 2b - 7 - 4b + 10
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Combine like terms: Group the terms with the same variable together: 3a + (2b - 4b) + (-7 + 10)
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Simplify further: Combine the coefficients of the like terms: 3a - 2b + 3
Standard Form
The standard form of a linear expression is ax + by + c, where a, b, and c are constants, and x and y are variables.
Therefore, the simplified expression (3a + 2b - 7) - (4b - 10) in standard form is 3a - 2b + 3.