arambpri3541 arambpri3541
  • 23-04-2021
  • Mathematics
contestada

Hernando and Rachel are factoring 2mp-6p+27-9m. Is either of them correct? Explain your reasoning,

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 26-04-2021

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as Hernando and Rachel's solution are not provided. So, I will just solve the question directly.

Given

[tex]2mp-6p+27-9m[/tex]

Required

Factor

[tex]2mp-6p+27-9m[/tex]

Group into 2

[tex]2mp-6p+27-9m = [2mp-6p]+[27-9m][/tex]

Factor each group

[tex]2mp-6p+27-9m = 2p[m-3]+9[3-m][/tex]

Rewrite 3 - m as -(m-3)

So, we have:

[tex]2mp-6p+27-9m = 2p[m-3]-9[m-3][/tex]

Factor out m - 3

[tex]2mp-6p+27-9m = [2p-9][m-3][/tex]

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