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Answer :
The subtraction of the two polynomials [tex](3x+2x⁷+5x⁵)-(12x⁵+8x⁷-13x[/tex]) results in -6x⁷ - 7x⁵ + 16x, which is the fourth option. 4) -6x⁷-7x⁵+16x is correct.
To subtract two polynomials: ([tex]3x+2x⁷+5x⁵)-(12x⁵+8x⁷-13x).[/tex] We start by distributing the negative sign across the second polynomial and then combine like terms.
- Subtract coefficients of [tex]x⁷: 2x⁷ - 8x⁷ = -6x⁷[/tex]
- Subtract coefficients of [tex]x⁵: 5x⁵ - 12x⁵ = -7x⁵[/tex]
- [tex]x: 3x - (-13x) = 3x + 13x = 16x[/tex]
Combining the terms, we get -6x⁷ - 7x⁵ + 16x , option 4 is correct.
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