Chapter 12.8, Problem 11MRE

To determine

To calculate: The solution the system of equations with the help of multiplication.

  ${\left(r-2\right)}^2$

Answer to Problem 11MRE

The solution for the equation is: $r^2-4r+4$ .

Explanation of Solution

Given information:

The equation:

  ${\left(r-2\right)}^2$

Calculation:

Consider the equation,

  ${\left(r-2\right)}^2$

The identity:

  $\begin{array}{l}{\left(a-b\right)}^2\\ a^2+b^2-2ab\end{array}$

Apply the identity:

  $\begin{array}{l}{\left(r-2\right)}^2\\ {\left(r\right)}^2+{\left(2\right)}^2-2\cdot r\cdot 2\\ r^2+4-4r\\ r^2-4r+4\end{array}$

Therefore, solution of the given equation, $r^2-4r+4$ .

Thus, the solution of the equation is, $r^2-4r+4$ .