Chapter 8.4, Problem 33PPE

To determine

The solution of the given expression.

Answer to Problem 33PPE

The solution of the product $63\cdot 57$ is $3591$

Explanation of Solution

Given information:

The product $63\cdot 57$

Concept and Formula Used:

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

Calculation:

The givenproduct is $63\cdot 57$

The product can be written as $63\cdot 57=\left(60+3\right)\left(60-3\right)$

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

Therefore

  $\begin{array}{l}63\cdot 57={\left(60\right)}^2-{\left(3\right)}^2\\ 63\cdot 57=3600-9\\ 63\cdot 57=3591\end{array}$

Conclusion:

The solution of the product $63\cdot 57$ is $3591$