Chapter 8.4, Problem 49PPS

To determine

To find: The product $\left(c+d\right)\left(c+d\right)\left(c+d\right)$

Answer to Problem 49PPS

  $c^3+3c^{2}d+3c{d}^2+d^3$

Explanation of Solution

Given:

  $\left(c+d\right)\left(c+d\right)\left(c+d\right)$

Calculation:

The given expression is $\left(c+d\right)\left(c+d\right)\left(c+d\right)$

Rewrite this expression as ${\left(c+d\right)}^3$

Use the formula ${\left(a+b\right)}^3=a^3+3a^{2}b+3a{b}^2+b^3$

  $\begin{array}{l}{\left(c+d\right)}^3\\ =c^3+3c^{2}d+3c{d}^2+d^3\end{array}$