Chapter 0, Problem 12PO

To determine

The factored expression of the given polynomial.

Answer to Problem 12PO

The factored expression is $(5a-2)(5a-2)$ .

Explanation of Solution

Given information: The given polynomial is $25a^2-20a+4$ .

Calculation:

The given polynomial is $25a^2-20a+4$ .

The formula for ${(a-b)}^2$ is $a^2-2ab+b^2$ .

By factoring the polynomial,

  $\begin{array}{l}25a^2-20a+4\\ $ ={(5a)}^2-2\cdot 5a\cdot 2+{(2)}^2$$ ={(5a-2)}^2$=(5a-2)(5a-2)\end{array}$

  $\therefore$ The factored expression is $(5a-2)(5a-2)$ .