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01-10-2017
Mathematics

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Factor this expression completely.

mr + ns - nr - ms

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BenjaminG123 BenjaminG123

01-10-2017

Greetings!

[tex]mr+ns-nr-ms[/tex]
Rearrange.
[tex]mr-nr-ms+ns[/tex]
Factor by grouping.
[tex]r(m-n)+s(-m+n)[/tex]
Multiply the expression by -1.
[tex]r(m-n)-1(+s(-m+n))[/tex]
Simplify.
[tex]r(m-n)-s(m-n)[/tex]
Find the GCF.
[tex](m-n)(r-s)[/tex]

Hope this helps.
-Benjamin

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