Solve (ab/2)(ab/7)

$$( \frac { a b } { 2 } ) ( \frac { a b } { 7 } )$$

Evaluate

$$\frac{\left(ab\right)^{2}}{14}$$

Solution Steps

Multiply \frac{ab}{2} times \frac{ab}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{abab}{2\times 7}$$

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

$$\frac{a^{2}bb}{2\times 7}$$

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

$$\frac{a^{2}b^{2}}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{a^{2}b^{2}}{14}$$

Differentiate w.r.t. a

$$\frac{ab^{2}}{7}$$