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NEEED HELP FAST WILL GIVE THANKS AND MARK BRAINLIEST

What is the simplified form of the quantity 9 x squared minus 25 over the quantity 3 x minus 5 ? (1 point)


(A) 3x − 5, with the restriction x ≠ five over 3

(B) 3x + 5, with the restriction x ≠ − five over 3

(c) 3x − 5, with the restriction x ≠ − five over 3

(d) 3x + 5, with the restriction x ≠ five over 3

Respuesta :

fireflame90262

I really hope this helps!I think the answer is C.

Ver imagen fireflame90262
carlosego

For this case we must simplify the following expression:

[tex]\frac {9x ^ 2-25} {3x-5}[/tex]

We can rewrite the numerator:

[tex]9x ^ 2-25 = (3 ^ 2) x ^ 2-5 ^ 2 = (3x) ^ 2-5 ^ 2 = (3x-5) (3x + 5)[/tex]

Rewriting the expression:

[tex]\frac {(3x-5) (3x + 5)} {(3x-5)} =[/tex]

We simplify similar terms and finally we have:

[tex]3x + 5[/tex]

In addition, the denominator of the function must be nonzero, that is, x other than [tex]\frac {5} {3}[/tex]

Answer:

Option D

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