Chapter 11, Problem 7QC

To determine

To find: The expanded form of the given binomial.

Answer to Problem 7QC

Theexpanded form is $a^4-8a^2+24a^2-32a+16$ .

Explanation of Solution

Given:

The given binomial is ${\left(a-2\right)}^4$ .

Calculation:

Consider given binomial is,

  ${\left(a-2\right)}^4$

Then, the expanded form is,

  $\begin{array}{c}{\left(a-2\right)}^4=a^4-4{\left(a\right)}^2\left(2\right)+6a^2{\left(2\right)}^2-4a{\left(2\right)}^3+2^4\\ =a^4-8a^2+24a^2-32a+16\end{array}$