Chapter 8.4, Problem 27P

Mental Math Simplify each product.

$27.{302}^2$

To determine

To simplify: The product ${302}^2$ .

Answer to Problem 27P

  $91204$

Explanation of Solution

Given information:

The product to be simplified is ${302}^2$ .

Calculation:

Write the product in the form of ${\left(a+b\right)}^2$ and then apply the formula: ${\left(a+b\right)}^2=a^2+2ab+b^2$ .

  $\begin{array}{c}{302}^2={\left(300+2\right)}^2\\ ={300}^2+2\left(300\right)\left(2\right)+2^2\\ =90000+1200+4\\ =91204\end{array}$