Find expert answers and community support for all your questions on IDNLearn.com. Join our knowledgeable community to find the answers you need for any topic or issue.

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]

Submit Answer


Sagot :

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].