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\frac{9x\left(x-1\right)}{\left(5+9x\right)\left(1+x\right)}
Express \frac{\frac{9x\left(x-1\right)}{5+9x}}{1+x} as a single fraction.
\frac{9x^{2}-9x}{\left(5+9x\right)\left(1+x\right)}
Use the distributive property to multiply 9x by x-1.
\frac{9x^{2}-9x}{5+5x+9x+9x^{2}}
Apply the distributive property by multiplying each term of 5+9x by each term of 1+x.
\frac{9x^{2}-9x}{5+14x+9x^{2}}
Combine 5x and 9x to get 14x.
\frac{9x\left(x-1\right)}{\left(5+9x\right)\left(1+x\right)}
Express \frac{\frac{9x\left(x-1\right)}{5+9x}}{1+x} as a single fraction.
\frac{9x^{2}-9x}{\left(5+9x\right)\left(1+x\right)}
Use the distributive property to multiply 9x by x-1.
\frac{9x^{2}-9x}{5+5x+9x+9x^{2}}
Apply the distributive property by multiplying each term of 5+9x by each term of 1+x.
\frac{9x^{2}-9x}{5+14x+9x^{2}}
Combine 5x and 9x to get 14x.