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Which of the following is equivalent to 5a + 2b + 6c?

13abc
7ab + 6c
5a + 8bc
2b + 5a + 6c

User Maysi
by
2.7k points

2 Answers

10 votes
10 votes

Answer: 2b + 5a + 6c

Step-by-step explanation: The Equivalent expressions of the given expression is a 2b + 5a + 6c. Thus, option D is a correct.

According to the statement

We have to find that the equivalent expression.

So, For this purpose, we know that the

Equivalent expressions are expressions that work the same even though they look different.

From the given information:

The given expression is a 5a + 2b + 6c

Then

1) 13abc

It is completely different from the 5a + 2b + 6c

2) 7ab + 6c

It is also completely different from the 5a + 2b + 6c

3) 5a + 8bc

It is also completely different from the 5a + 2b + 6c

4) 2b + 5a + 6c

It is sams as the 5a + 2b + 6c because of the some same coefficients of the variables.

So, The Equivalent expressions of the given expression is a 2b + 5a + 6c. Thus, option D is a correct.

User Charlie Pico
by
3.5k points
25 votes
25 votes

There is no multiplication here, and there are also no like terms, so terms with different variables cannot be combined due to the lack of multiplication. This expression cannot be simplified, only rearranged. Therefore, expressions that appear to simplify it:

13abc
7ab + 6c
5a + 8bc

Are not equivalent. Therefore:

2b + 5a + 6c, which only rearranges the expression, is equivalent.

User Slushy
by
3.3k points