Solve 21a^2bdiv(-a)div3b

$$21 a ^ { 2 } b \div ( - a ) \div 3 b$$

Evaluate

$$-7ab^{2}$$

Solution Steps

Express \frac{\frac{21a^{2}b}{-a}}{3} as a single fraction.

$$\frac{21a^{2}b}{\left(-a\right)\times 3}b$$

Cancel out 3 in both numerator and denominator.

$$\frac{7ba^{2}}{-a}b$$

Express \frac{7ba^{2}}{-a}b as a single fraction.

$$\frac{7ba^{2}b}{-a}$$

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

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

Cancel out a in both numerator and denominator.

$$\frac{7ab^{2}}{-1}$$

Anything divided by -1 gives its opposite.

$$-7ab^{2}$$

Differentiate w.r.t. a

$$-7b^{2}$$