robert7248
contestada

Which of the following is equal to the rational expression when x ≠ -3?

[tex]\frac{x^{2}-9 }{x+3}[/tex]

A. x + 3
B. x - 3
C. [tex]\frac{1}{x-3}[/tex]
D. [tex]\frac{x-3}{x+3}[/tex]

Respuesta :

Answer:

Option B (x - 3).

Step-by-step explanation:

The given expression is [tex]\frac{x^{2}-9 }{x+3}[/tex] when x ≠ 3.

Here we know from the identity

(a² - b²) = (a - b)(a + b)

(x² - 9) = (x - 3)(x + 3)

Now the fraction is in factorized form

[tex]\frac{(x-3)(x+3)}{(x+3)}=(x - 3)[/tex]

Therefore the given option B. (x - 3) is the correct answer.

zainebamir540

Answer:

Choice B is correct answer.

Step-by-step explanation:

We have given a rational expression.

x²-9 / x+3

We have to simplify the given expression.

Applying difference formula on the numerator of the expression, we have

a²-b² = (a-b)(a+b)

x²-9  = (x-3)(x+3)

x²-9 / x+3  = (x-3)(x+3) / x+3

x²-9 / x+3  = x-3 which is the answer.

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