BeautifulDay BeautifulDay
  • 20-12-2018
  • Mathematics
contestada

How do you factor m^2=2m?
[tex]m ^{2} = 2m[/tex]

Respuesta :

LammettHash
LammettHash LammettHash
  • 20-12-2018

First move all terms to one side:

[tex]m^2=2m\implies m^2-2m=0[/tex]

Then all terms on the left side share a common factor of [tex]m[/tex]:

[tex]m(m-2)=0[/tex]

The zero product product property says that if [tex]ab=0[/tex], then [tex]a=0[/tex] or [tex]b=0[/tex]. So either [tex]m=0[/tex] or [tex]m-2=0\implies m=2[/tex].

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