Chapter 8.4, Problem 35PPE

To determine

The solution of the given expression.

Answer to Problem 35PPE

The solution of the product $303\cdot 297$ is $89991$

Explanation of Solution

Given information:

The product $303\cdot 297$

Concept and Formula Used:

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

Calculation:

The givenproduct is $303\cdot 297$

The product can be written as $303\cdot 297=\left(300+3\right)\left(300-3\right)$

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

Therefore

  $\begin{array}{l}303\cdot 297={\left(300\right)}^2-{\left(3\right)}^2\\ 303\cdot 297=90000-9\\ 303\cdot 297=89991\end{array}$

Conclusion:

The solution of the product $303\cdot 297$ is $89991$