The expression that is equivalent to the given quotient of the algebraic expression is; C: 3(x - 1)
How to simplify algebraic expressions?
We are given the algebraic expression;
[(3x² - 3)/(x² + 3x)]/[(x + 1)/(x(x + 3))]
The algebra can be simplified as;
[3(x² - 1)/x(x + 3)] * (x(x + 3))/(x + 1)
x(x + 3) will cancel out to give;
3(x² - 1) * 1/(x + 1)
This can be simplified further to get;
3(x + 1)(x - 1) * 1/(x + 1)
⇒ 3(x - 1)
Read more about Algebraic Expressions at; https://brainly.com/question/4344214
