Question

В выражении 5а+7а+4b-2 нет подобных слагаемых.Верно или нет?

Answer 1

Нет,   есть 5а и 7а  так как  у них буквенная часть одинакова и если привести подобные получится
5а+7а+4b-2=12а+4b-2

Answer 2

Analysis of the Expression

The expression given is 5a + 7a + 4b - 2. We need to determine if there are any like terms in this expression.

To identify like terms, we look for terms that have the same variables raised to the same powers. In this case, we have two terms with the variable a and one term with the variable b.

The coefficients in front of the variables do not affect whether the terms are like terms or not. Therefore, we can combine the terms with the same variables and add or subtract their coefficients.

Let's analyze the expression step by step:

1. 5a and 7a are like terms because they both have the variable a raised to the power of 1. We can combine these terms by adding their coefficients: 5a + 7a = 12a.

2. 12a and 4b are not like terms because they have different variables. We cannot combine them.

3. Finally, we have 12a + 4b - 2. There are no other terms with the same variables, so we cannot combine any further.

Therefore, the statement that there are no like terms in the expression 5a + 7a + 4b - 2 is incorrect.

Conclusion

The expression 5a + 7a + 4b - 2 does have like terms. The terms 5a and 7a are like terms because they have the same variable a raised to the same power. We can combine these terms to get 12a. The term 4b is not a like term with 12a, so we cannot combine them.