Chapter 12.1, Problem 2MRE

To determine

To Express: The square ${\left(2x+5\right)}^2$ as a trinomial.

Answer to Problem 2MRE

The required answer is $4x^2+20x+25$ .

Explanation of Solution

Given information:

  ${\left(2x+5\right)}^2$

Calculation:

  $\begin{array}{l}{\left(2x+5\right)}^2\\ ={\left(2x\right)}^2+2\cdot 2x\cdot 5+{\left(5\right)}^2\end{array}$

(Using ${\left(x+a\right)}^2=x^2+2ax+a^2$ )

  $=4x^2+20x+25$

(Simplify)

So, the required trinomial is $4x^2+20x+25$ .