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Which of the following is equivalent to 6a+3b+2c ? a. 9ab+2c b. 2c3b+6a c. 6a3b+2c d. 6a+3b+2c

1 Answer

3 votes

Answer:

C and D

Explanation:

To determine which of the given expressions is equivalent to 6a+3b+2c, we can compare the coefficients of the variables a, b, and c in each option.

Let's go through each option and simplify them:

a. 9ab+2c: This expression has a coefficient of 9 for the variable a, which is different from the coefficient of 6a in the original expression. Therefore, option a is not equivalent to 6a+3b+2c.

b. 2c3b+6a: This expression has a coefficient of 6 for the variable a, which matches the coefficient in the original expression. However, the order of the terms is different. Therefore, option b is not equivalent to 6a+3b+2c.

c. 6a3b+2c: This expression has the same coefficients for all the variables as in the original expression. Additionally, the order of the terms is the same. Therefore, option c is equivalent to 6a+3b+2c.

d. 6a+3b+2c: This expression is the same as the original expression. Therefore, option d is equivalent to 6a+3b+2c.

In conclusion, the expressions that are equivalent to 6a+3b+2c are options c and d.

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