Chapter 8.4, Problem 21PPE

To determine

The solution of the given expression.

Answer to Problem 21PPE

The solution of expression ${79}^2$ is $6241$

Explanation of Solution

Given information:

The product ${79}^2$

Concept and Formula Used:

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

Calculation:

The givenproduct is ${79}^2$

The product can be written as ${79}^2={\left(80-1\right)}^2$

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

Therefore

  $\begin{array}{l}{79}^2={\left(80\right)}^2-2\times \left(80\right)\times \left(1\right)+{\left(1\right)}^2\\ {79}^2=6400-160+1\\ {79}^2=6241\end{array}$

Conclusion:

The solution of expression ${79}^2$ is $6241$