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\frac{\left(2x+9\right)\left(x-7\right)}{\left(3x-21\right)\left(3x+12\right)}
Multiply \frac{2x+9}{3x-21} times \frac{x-7}{3x+12} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(x-7\right)\left(2x+9\right)}{3^{2}\left(x-7\right)\left(x+4\right)}
Factor the expressions that are not already factored.
\frac{2x+9}{3^{2}\left(x+4\right)}
Cancel out x-7 in both numerator and denominator.
\frac{2x+9}{9x+36}
Expand the expression.
\frac{\left(2x+9\right)\left(x-7\right)}{\left(3x-21\right)\left(3x+12\right)}
Multiply \frac{2x+9}{3x-21} times \frac{x-7}{3x+12} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(x-7\right)\left(2x+9\right)}{3^{2}\left(x-7\right)\left(x+4\right)}
Factor the expressions that are not already factored.
\frac{2x+9}{3^{2}\left(x+4\right)}
Cancel out x-7 in both numerator and denominator.
\frac{2x+9}{9x+36}
Expand the expression.