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\frac{x^{2}+6x-7}{\left(x^{10}+12x^{9}\right)\left(x^{20}+x^{19}\right)}
Express \frac{\frac{x^{2}+6x-7}{x^{10}+12x^{9}}}{x^{20}+x^{19}} as a single fraction.
\frac{x^{2}+6x-7}{x^{30}+13x^{29}+12x^{28}}
Use the distributive property to multiply x^{10}+12x^{9} by x^{20}+x^{19} and combine like terms.
\frac{x^{2}+6x-7}{\left(x^{10}+12x^{9}\right)\left(x^{20}+x^{19}\right)}
Express \frac{\frac{x^{2}+6x-7}{x^{10}+12x^{9}}}{x^{20}+x^{19}} as a single fraction.
\frac{x^{2}+6x-7}{x^{30}+13x^{29}+12x^{28}}
Use the distributive property to multiply x^{10}+12x^{9} by x^{20}+x^{19} and combine like terms.