Chapter 12.1, Problem 5OE

To determine

To solve: The trinomial expression $x^2-14x+49$ as the square of a binomial.

Answer to Problem 5OE

The required binomial form is ${\left(x-7\right)}^2$ .

Explanation of Solution

Given information:

The given expression $x^2-14x+49$ .

Calculation:

  $\begin{array}{l}=x^2-14x+49\\ ={\left(x-7\right)}^2\end{array}$

The required binomial form is ${\left(x-7\right)}^2$ .