Solve ab/2d*ab/bd

$$\frac { a b } { 2 d } \cdot \frac { a b } { b d }$$

Evaluate

$$\frac{\left(\frac{a}{d}\right)^{2}b}{2}$$

Solution Steps

Cancel out b in both numerator and denominator.

$$\frac{ab}{2d}\times \frac{a}{d}$$

Multiply \frac{ab}{2d} times \frac{a}{d} by multiplying numerator times numerator and denominator times denominator.

$$\frac{aba}{2dd}$$

Multiply a and a to get a^{2}.

$$\frac{a^{2}b}{2dd}$$

Multiply d and d to get d^{2}.

$$\frac{a^{2}b}{2d^{2}}$$

Differentiate w.r.t. b

$$\frac{\left(\frac{a}{d}\right)^{2}}{2}$$