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Given the expression: (7x+14)/(x² +1) which of the following accurately rewrites the division expression as an equivalent multiplication excpression?

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Final answer:

The expression (7x+14)/(x² +1) does not have an equivalent multiplication expression that simplifies the original expression, since the numerator and denominator do not share a common factor to be simplified.

Step-by-step explanation:

The expression (7x+14)/(x² +1) cannot be directly rewritten as an equivalent multiplication expression by the rules of algebraic operations, because the numerator and denominator do not share a factor that can be simplified out. In algebra, rewriting a division as a multiplication involves using the reciprocal, but in this case, the reciprocal of the denominator x² + 1 is not a factor of the numerator 7x + 14, and therefore, the original expression does not have an equivalent multiplication form that simplifies the ratio in a meaningful way.

However, if we were to describe the operation of dividing by x² + 1 as multiplying by the reciprocal, it would look like this: (7x+14) multiplied by 1/(x² +1). But this is just a restatement of the division operation and does not simplify the expression.

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