Respuesta :

[tex]5y^2 - 80 = 5(y^2-16) = 5(y - 4)(y + 4) [/tex]

LCM of 5(y - 4)(y + 4) and (y + 4) is 5(y - 4)(y + 4) 

-----------------------------------------------------------------------
Answer: 5(y - 4)(y + 4) (Answer D)
-----------------------------------------------------------------------

Answer: The correct option is (d) [tex]5(y+4)(y-4).[/tex]

Step-by-step explanation: We are given to find the least common multiple of the following polynomials:

[tex]P_1=5y^2-80,\\\\P_2=y+4.[/tex]

The LEAST COMMON MULTIPLE of two or more polynomials is a polynomial of the least degree that is divisible by all the other polynomials.

We have

[tex]P_1=5y^2-80=5(y^2-16)=5(y^2-4^2)=5(y+4)(y-4).[/tex]

Therefore, the least common multiple of the polynomials will be

 [tex]LCM(P_1,P_2)=5(y+1)(y-1).[/tex]

Thus, (d) is the correct option.

Otras preguntas