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Find an expression that represents the difference when [tex]$(3x + 6y)$[/tex] is subtracted from [tex]$(4x + 9y)$[/tex] in simplest terms.

Answer:

[tex]\square[/tex]

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GinnyAnsweridn
To solve the problem of finding the difference between the two expressions [tex]\(4x + 9y\)[/tex] and [tex]\(3x + 6y\)[/tex], follow these steps:

1. Write down the expressions:
- The first expression is [tex]\(4x + 9y\)[/tex].
- The second expression is [tex]\(3x + 6y\)[/tex].

2. Subtract the second expression from the first expression:
[tex]\[ (4x + 9y) - (3x + 6y) \][/tex]

3. Distribute the subtraction:
[tex]\[ 4x + 9y - 3x - 6y \][/tex]

4. Combine like terms:
- Combine the [tex]\(x\)[/tex] terms: [tex]\(4x - 3x = x\)[/tex].
- Combine the [tex]\(y\)[/tex] terms: [tex]\(9y - 6y = 3y\)[/tex].

5. Write down the simplified expression:
[tex]\[ x + 3y \][/tex]

Therefore, the expression that represents the difference between [tex]\(4x + 9y\)[/tex] and [tex]\(3x + 6y\)[/tex] in its simplest form is [tex]\(x + 3y\)[/tex].
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