Chapter 8.4, Problem 20PPE

To determine

The solution of the given expression.

Answer to Problem 20PPE

The solution of expression ${61}^2$ is $3721$

Explanation of Solution

Given information:

The product ${61}^2$

Concept and Formula Used:

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

Calculation:

The givenproduct is ${61}^2$

The product can be written as ${61}^2={\left(60+1\right)}^2$

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

Therefore

  $\begin{array}{l}{61}^2={\left(60\right)}^2+2\times \left(60\right)\times \left(1\right)+{\left(1\right)}^2\\ {61}^2=3600+120+1\\ {61}^2=3721\end{array}$

Conclusion:

The solution of expression ${61}^2$ is $3721$