Question 131909
{{{(5c^4-3c^3+4c^2+13c-8)+(c^5+8c^3+4c^2-4c+4)+(-8c^4+c^2-5c-4)}}} Start with the given expression



{{{5c^4-3c^3+4c^2+13c-8+c^5+8c^3+4c^2-4c+4-8c^4+c^2-5c-4}}} Break up the groups



{{{(13c-4c-5c)+(4c^2+4c^2+c^2)+(c^5)+(-3c^3+8c^3)+(5c^4-8c^4)+(-8+4+-4)}}} Group like terms



{{{4c+9c^2+c^5+5c^3-3c^4-8}}} Combine like terms



{{{c^5-3c^4+5c^3+9c^2+4c-8}}} Rearrange the terms




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Answer:


So {{{(5c^4-3c^3+4c^2+13c-8)+(c^5+8c^3+4c^2-4c+4)+(-8c^4+c^2-5c-4)}}} adds and simplifies to {{{c^5-3c^4+5c^3+9c^2+4c-8}}}