What is the simplified form of the quantity 4 x squared minus 25 over the quantity 2x minus 5 ?

a 2x − 5, with the restriction x ≠ −five over 2

b 2x + 5, with the restriction x ≠ five over 2

c 2x − 5, with the restriction x ≠ five over 2

d 2x + 5, with the restriction x ≠ −five over 2

  B.  2x + 5, with the restriction x ≠ five over 2

Step-by-step explanation:

The given expression is the difference of squares, so factors as ...

  the product of the quantity 2x plus 5 and the quantity 2x minus 5 over the quantity 2x minus 5

You will note that the numerator and denominator have a common factor:

  the quantity 2x minus 5

Factoring that out gives ...

  2x + 5, with the restriction x ≠ five over 2 (x is restricted from being a value that makes the denominator zero.)

Comment on the form of the answer

Since you have written your math expressions using words instead of symbols, we assume you can read them more easily that way. So, we have provided the explanation in the form you can most easily understand. (Personally, I prefer math symbols. They are more compact and tend to be less ambiguous.)

30 people weigh 160 pounds or more

answer: ay  

fonsi  

dy  

oh

oh no, oh no

oh yeah

diridiri, dirididi daddy  

go

sí, sabes que ya llevo un rato mirándote  

tengo que bailar contigo hoy (dy)  

vi que tu mirada ya estaba llamándome  

muéstrame el camino que yo voy (oh)

tú, tú eres el imán y yo soy el metal  

me voy acercando y voy armando el plan  

solo con pensarlo se acelera el pulso (oh yeah)

ya, ya me está gustando más de lo normal  

todos mis sentidos van pidiendo más  

esto hay que tomarlo sin ningún apuro

despacito  

quiero respirar tu cuello despacito  

deja que te diga cosas al oído  

para que te acuerdes si no estás conmigo

despacito  

quiero desnudarte a besos despacito  

firmo en las paredes de tu laberinto  

y hacer de tu cuerpo todo un manuscrito (sube, sube, sube)

(sube, sube)