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