Question

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

Answer 1

Hello! Hope I can assist you.

Let us simplify some terms first!


`6m\cdot \:2n\cdot \:3 \ \textgreater \ 36mn`

`3m\cdot \:3n\cdot \:2 \ \textgreater \ 2\cdot \:3^2mn`

`8m\cdot \:2n\cdot \:3 \ \textgreater \ 48mn`

`12m\cdot \:3n\cdot \:2 \ \textgreater \ 72mn`


`36mn-2\cdot \:3^2mn+48mn+72mn`

From here, group like terms

`36mn-2\cdot \:3^2mn+48mn+72mn`


`\mathrm{Add\:similar\:elements:}\:36mn+48mn+72mn=156mn`

`156mn-2\cdot \:3^2mn`


`2\cdot \:3^2mn \ \textgreater \ 2\cdot \:9mn \ \textgreater \ 18mn`


`156mn-18mn`


`\mathrm{Add\:similar\:elements:}\:156mn-18mn=138mn`

Hope this helps!