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(ab+bc+ca) can be expressed as:

A. abc(a+b+c)
B. ab(a+c)
C. abc(1/a+1/b+1/c)

1 Answer

3 votes

Final answer:

The expression (ab+bc+ca) is already in its simplest form and cannot be expressed as any of the provided options, which include abc(a+b+c), ab(a+c), or abc(1/a+1/b+1/c).

Step-by-step explanation:

The expression (ab+bc+ca) does not equal any of the options provided, namely abc(a+b+c), ab(a+c), or abc(1/a+1/b+1/c). The given expression is simply a sum of products of variables and cannot be factored or simplified in the way the options suggest without additional terms or factors. It is already in its simplest form, assuming that no common factor exists between the terms.

The closest option to being correct would be abc(a+b+c), but this represents the sum of each variable multiplied by the product of the other two, which is not equivalent to the given expression.

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