(9/($x-2)^{2}$)+(6/(x-2))
You asked:
Evaluate the expression: \(\frac{9}{{\left( x - 2 \right)}^{2}} + \frac{6}{x - 2}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{9}{{\left( x - 2 \right)}^{2}} + \frac{6}{x - 2} = \frac{6}{x - 2} + \frac{9}{\left(x - 2\right)^{2}} \)
Expanded
\[\frac{9}{{\left( x - 2 \right)}^{2}} + \frac{6}{x - 2} = \frac{9}{x^{2} - 4 x + 4} + \frac{6}{x - 2}\]
Factored
\[\frac{9}{{\left( x - 2 \right)}^{2}} + \frac{6}{x - 2} = \frac{3 \cdot \left(2 x - 1\right)}{\left(x - 2\right)^{2}}\]