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Answer :
Final answer:
The given expressions are both polynomials. After arranging the terms in order of decreasing powers of x, the simplified forms are 3x⁷ + 9x³ + 8x² + 2x, and 4x⁷ - 3x³ + x² + 8x, respectively.
Explanation:
Both expressions given are polynomials. A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. In this case, we have polynomials in the variable x.
The first polynomial, 2x+3x⁷+9x³+8x², can be simplified by rearranging the terms in decreasing order of powers of x, resulting in 3x⁷ + 9x³ + 8x² + 2x.
The second polynomial, 8x+4x⁷-3x³+x², can also be rearranged in the same manner, resulting in 4x⁷ - 3x³ + x² + 8x.
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