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Answer :
We combine the like terms by adding their coefficients to simplify the given polynomial. The final answer is 13x^(6) + 11x^(3) + 4.
To simplify the given polynomial, we combine like terms by adding or subtracting the coefficients of the same variables raised to the same powers.
The polynomial is 6x^(6) + 3x^(3) + 7x^(6) + 4 + 8x^(3).
Let's combine the like terms:
6x^(6) + 7x^(6) = 13x^(6) (combining the coefficients of x^(6))
3x^(3) + 8x^(3) = 11x^(3) (combining the coefficients of x^(3))
The simplified polynomial is now 13x^(6) + 11x^(3) + 4.
So, the simplified form of the given polynomial is 13x^(6) + 11x^(3) + 4.
In summary, we combine the like terms by adding their coefficients to simplify the given polynomial. The final answer is 13x^(6) + 11x^(3) + 4.
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