Chapter 8.3, Problem 37PPS

To determine

To find: The product ${\left(a-2b\right)}^2$

Answer to Problem 37PPS

  $a^2-4ab+4b^2$

Explanation of Solution

Given:

  ${\left(a-2b\right)}^2$

Calculation:

The given expression is ${\left(a-2b\right)}^2$

Rewrite this expression as

  $\left(a-2b\right)\left(a-2b\right)$

Multiply using the FOIL method and then simplify

  $\begin{array}{l}{a}^2-2ab-2ab+4b^2\\ =a^2-4ab+4b^2\end{array}$