Chapter 4.3, Problem 13OE

To determine

To Find:

The special product.

Answer to Problem 13OE

  $a^2-4a+4$

Explanation of Solution

Given Information:

Given expression:

  ${\left(a-2\right)}^2$

Formula Used :

The special product:

  ${\left(a-b\right)}^2=a^2-2ab+b^2$

Calculation:

  $\begin{array}{l}Given\\ {\left(a-2\right)}^2\\ The\text{ special product:}\\ {\left(a-b\right)}^2=a^2-2ab+b^2\\ Substituteb=2:\\ {\left(a-2\right)}^2=a^2-2\cdot a\cdot 2+2^2=a^2-4a+4\end{array}$