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\frac{1}{u}\left(\left(10x+12\right)x+\left(x^{2}-1\right)\times 5\right)
Use the distributive property to multiply 5x+6 by 2.
\frac{1}{u}\left(10x^{2}+12x+\left(x^{2}-1\right)\times 5\right)
Use the distributive property to multiply 10x+12 by x.
\frac{1}{u}\left(10x^{2}+12x+5x^{2}-5\right)
Use the distributive property to multiply x^{2}-1 by 5.
\frac{1}{u}\left(15x^{2}+12x-5\right)
Combine 10x^{2} and 5x^{2} to get 15x^{2}.
\frac{15x^{2}+12x-5}{u}
Express \frac{1}{u}\left(15x^{2}+12x-5\right) as a single fraction.
\frac{1}{u}\left(\left(10x+12\right)x+\left(x^{2}-1\right)\times 5\right)
Use the distributive property to multiply 5x+6 by 2.
\frac{1}{u}\left(10x^{2}+12x+\left(x^{2}-1\right)\times 5\right)
Use the distributive property to multiply 10x+12 by x.
\frac{1}{u}\left(10x^{2}+12x+5x^{2}-5\right)
Use the distributive property to multiply x^{2}-1 by 5.
\frac{1}{u}\left(15x^{2}+12x-5\right)
Combine 10x^{2} and 5x^{2} to get 15x^{2}.
\frac{15x^{2}+12x-5}{u}
Express \frac{1}{u}\left(15x^{2}+12x-5\right) as a single fraction.