Solve 12c^3d/21ab*14a^2b/8c^2d

$$\frac { 12 c ^ { 3 } d } { 21 a b } \times \frac { 14 a ^ { 2 } b } { 8 c ^ { 2 } d }$$

Evaluate

$$ac$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{4dc^{3}}{7ab}\times \frac{14a^{2}b}{8c^{2}d}$$

Cancel out 2 in both numerator and denominator.

$$\frac{4dc^{3}}{7ab}\times \frac{7ba^{2}}{4dc^{2}}$$

Multiply \frac{4dc^{3}}{7ab} times \frac{7ba^{2}}{4dc^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4dc^{3}\times 7ba^{2}}{7ab\times 4dc^{2}}$$

Cancel out 4\times 7abdc^{2} in both numerator and denominator.

$$ac$$

Differentiate w.r.t. c

$$a$$