The product of the rational expressions will be 3x² / (x² – 6x – 7). Then the correct option is D.
What is a rational number?
If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
The rational expressions are given below.
3x / (x + 1) and x / (x – 7)
Then the product of the rational expression 3x / (x + 1) and x / (x – 7) will be
⇒ [3x / (x + 1)] · [x / (x – 7)]
Simplify the rational expression, then the expression will be
⇒ 3x² / [(x + 1) · (x – 7)]
⇒ 3x² / [(x · (x – 7) + 1 · (x – 7)]
⇒ 3x² / [(x² – 7x + x – 7)]
⇒ 3x² / [(x² – 6x – 7)]
Then the correct option is D.
More about the rational number link is given below.
https://brainly.com/question/9466779
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