\frac{a^2d^2}{abd^2}-\frac{cab}{abd^2}+\frac{abd^2}{abd^2}
You asked:
Evaluate the expression: \(\frac{{a}^{2} \cdot {d}^{2}}{a b \cdot {d}^{2}} - \frac{c a b}{a b \cdot {d}^{2}} + \frac{a b \cdot {d}^{2}}{a b \cdot {d}^{2}}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{{a}^{2} \cdot {d}^{2}}{a b \cdot {d}^{2}} - \frac{c a b}{a b \cdot {d}^{2}} + \frac{a b \cdot {d}^{2}}{a b \cdot {d}^{2}} = \frac{a}{b} - \frac{c}{d^{2}} + 1 \)
Factored
\[\frac{{a}^{2} \cdot {d}^{2}}{a b \cdot {d}^{2}} - \frac{c a b}{a b \cdot {d}^{2}} + \frac{a b \cdot {d}^{2}}{a b \cdot {d}^{2}} = \frac{d^{2} a - b c + d^{2} b}{d^{2} b}\]