Chapter 8, Problem 11CT

To determine

The solution of the given expression.

Answer to Problem 11CT

The solution of expression ${\left(q-1\right)}^2$ is $q^2-2q+1$

Explanation of Solution

Given information:

The expression ${\left(q-1\right)}^2$

Concept and Formula Used:

The property ${\left(a-b\right)}^2=a^2-2ab+b^2$

Calculation:

The given expression is ${\left(q-1\right)}^2$

Using the property ${\left(a-b\right)}^2=a^2-2ab+b^2$

Therefore

  $\begin{array}{l}{\left(q-1\right)}^2={\left(q\right)}^2-2\times \left(q\right)\times \left(1\right)+{\left(1\right)}^2\\ {\left(q-1\right)}^2=q^2-2q+1\end{array}$

Conclusion:

The solution of expression ${\left(q-1\right)}^2$ is $q^2-2q+1$