Simplify 6m2n3 – 3m3n2 + 8m2n3 + 12m3n2

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lilygarner80oyyri5 lilygarner80oyyri5

12-12-2017
Mathematics

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Simplify 6m2n3 – 3m3n2 + 8m2n3 + 12m3n2

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DivineSolar DivineSolar · Answer 1 · 2017-12-12T02:28:00+01:00

Hello! Hope I can assist you.

Let us simplify some terms first!

[tex]6m\cdot \:2n\cdot \:3 \ \textgreater \ 36mn[/tex]
[tex]3m\cdot \:3n\cdot \:2 \ \textgreater \ 2\cdot \:3^2mn[/tex]
[tex]8m\cdot \:2n\cdot \:3 \ \textgreater \ 48mn[/tex]
[tex]12m\cdot \:3n\cdot \:2 \ \textgreater \ 72mn[/tex]

[tex]36mn-2\cdot \:3^2mn+48mn+72mn[/tex]

From here, group like terms
[tex]36mn-2\cdot \:3^2mn+48mn+72mn[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:36mn+48mn+72mn=156mn [/tex]
[tex]156mn-2\cdot \:3^2mn[/tex]

[tex]2\cdot \:3^2mn \ \textgreater \ 2\cdot \:9mn \ \textgreater \ 18mn[/tex]

[tex]156mn-18mn[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:156mn-18mn=138mn[/tex]

Hope this helps!