The sum of given expression is \(10x^{4} -x^{3} -7x^{2} -2x+12\).
Given expression is,
\((2x^4 + 5x^3 - 8x^2 - x+10)\) and \((8x^4 - 4x^3 + x^2 - x + 2)\).
We have to find the sum of both expression.
Since both the term contains same variable x, so
\(2x^4 + 5x^3 - 8x^2 - x+10+8x^4 - 4x^3 + x^2 - x + 2\)
on arranging the terms we get,
\(2x^4+8x^4+5x^3-4x^3-8x^2+x^2-x-x+10+2\)
adding like terms, we get
\(10x^{4} -x^{3} -7x^{2} -2x+12\) .
Hence the required expression is \(10x^{4} -x^{3} -7x^{2} -2x+12\).
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