Chapter 8.1, Problem 4AGP

To determine

Simplify the given expression.

Answer to Problem 4AGP

The required simplified expression is $acd$

Explanation of Solution

Given information: Given the expression is $\frac{12c^3{d}^2}{21ab}\cdot \frac{14a^{2}b}{8c^{2}d}$

Calculation:

  $\begin{array}{l}=\frac{12c^3{d}^2}{21ab}\cdot \frac{14a^{2}b}{8c^{2}d}\\ =\frac{4\cdot 3c^3{d}^2}{7\cdot 3ab}\cdot \frac{7\cdot 2a^{2}b}{4\cdot 2c^{2}d}\text{ Rewrite}\\ =\frac{4cd}{7}\cdot \frac{7\cdot 2a}{4\cdot 2}\text{ Cancel like terms}\\ =acd\text{ Cancel like terms}\end{array}$

Thus, the required simplified expression is $acd$