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\left(x^{2}+5x-1\right)\left(2x^{3}-10x^{2}+51x-259\right)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
2x^{5}-x^{3}+6x^{2}-1346x+259
Use the distributive property to multiply x^{2}+5x-1 by 2x^{3}-10x^{2}+51x-259 and combine like terms.
\left(x^{2}+5x-1\right)\left(2x^{3}-10x^{2}+51x-259\right)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
2x^{5}-x^{3}+6x^{2}-1346x+259
Use the distributive property to multiply x^{2}+5x-1 by 2x^{3}-10x^{2}+51x-259 and combine like terms.