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Answer :
To solve the question of which expression has like terms, let's go through the options one by one:
1. Expression: [tex]\(6r + 4s\)[/tex]
- This expression has two terms: [tex]\(6r\)[/tex] and [tex]\(4s\)[/tex].
- The terms are not like terms because they contain different variables ([tex]\(r\)[/tex] and [tex]\(s\)[/tex]).
2. Expression: [tex]\(6x - 4x\)[/tex]
- This expression has two terms: [tex]\(6x\)[/tex] and [tex]\(-4x\)[/tex].
- These terms are like terms because they both contain the variable [tex]\(x\)[/tex].
- Like terms can be combined by adding or subtracting the coefficients. Here, you subtract [tex]\(4\)[/tex] from [tex]\(6\)[/tex], resulting in [tex]\(2x\)[/tex].
3. Expression: [tex]\(6x + 6y\)[/tex]
- This expression has two terms: [tex]\(6x\)[/tex] and [tex]\(6y\)[/tex].
- These terms are not like terms because they contain different variables ([tex]\(x\)[/tex] and [tex]\(y\)[/tex]).
4. Expression: [tex]\(6r - 6\)[/tex]
- This expression has two terms: [tex]\(6r\)[/tex] and [tex]\(-6\)[/tex].
- These terms are not like terms because one is a variable term ([tex]\(6r\)[/tex]) and the other is a constant ([tex]\(-6\)[/tex]).
The expression that has like terms is [tex]\(6x - 4x\)[/tex]. These like terms can be simplified to [tex]\(2x\)[/tex].
1. Expression: [tex]\(6r + 4s\)[/tex]
- This expression has two terms: [tex]\(6r\)[/tex] and [tex]\(4s\)[/tex].
- The terms are not like terms because they contain different variables ([tex]\(r\)[/tex] and [tex]\(s\)[/tex]).
2. Expression: [tex]\(6x - 4x\)[/tex]
- This expression has two terms: [tex]\(6x\)[/tex] and [tex]\(-4x\)[/tex].
- These terms are like terms because they both contain the variable [tex]\(x\)[/tex].
- Like terms can be combined by adding or subtracting the coefficients. Here, you subtract [tex]\(4\)[/tex] from [tex]\(6\)[/tex], resulting in [tex]\(2x\)[/tex].
3. Expression: [tex]\(6x + 6y\)[/tex]
- This expression has two terms: [tex]\(6x\)[/tex] and [tex]\(6y\)[/tex].
- These terms are not like terms because they contain different variables ([tex]\(x\)[/tex] and [tex]\(y\)[/tex]).
4. Expression: [tex]\(6r - 6\)[/tex]
- This expression has two terms: [tex]\(6r\)[/tex] and [tex]\(-6\)[/tex].
- These terms are not like terms because one is a variable term ([tex]\(6r\)[/tex]) and the other is a constant ([tex]\(-6\)[/tex]).
The expression that has like terms is [tex]\(6x - 4x\)[/tex]. These like terms can be simplified to [tex]\(2x\)[/tex].
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