Respuesta :
Answer:
x - 3
Step-by-step explanation:
Given
[tex]\frac{x^2-9}{x+3}[/tex]
Note that x² - 9 is a difference of squares and factors as
x² - 9 = (x + 3)(x - 3), thus
[tex]\frac{(x+3)(x-3)}{x+3}[/tex]
Cancel the x+ 3 factor on the numerator/ denominator leaving
x - 3 ← in simplified form
For the equation -3 x^2-9/x+3 , the rational expression is x+3 , Option A is the right answer.
What is an Expression ?
An expression is a mathematical statement that consists of variables , constants and arithmetic operators.
The complete question is
"Which of the following is equal to the rational expression when x does not equal 1 or 3 ( [tex]\rm \dfrac{ x^ {2}-9 }{x +3}[/tex])
The options are
a. x+3
b. x-3
c. (x -3)/(x+3)"
The expression given in the question is
( [tex]\rm \dfrac{ x^ {2}-9 }{x +3}[/tex])
and have been asked among the option which represents the rational expression when x does not equal 3 or 1
[tex]\rm \dfrac{x^{2}- 3^{2}}{x+3}\\\\\\a^2 - b^2 = (a+b)(a-b)\\\\\\\\dfrac{ (x+3)(x-3)}{x+3}\\\\\\x+3[/tex]
Therefore for the following equation -3 x^2-9/x+3 , the rational expression is x+3 .
To know more about Expression.
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