Chapter 8.4, Problem 1CYU

To determine

To find: The product ${\left(x+5\right)}^2$

Answer to Problem 1CYU

  $x^2+10x+25$

Explanation of Solution

Given:

  ${\left(x+5\right)}^2$

Calculation:

The given expression is ${\left(x+5\right)}^2$

Apply the formula ${\left(a+b\right)}^2=a^2+2ab+b^2$ and then simplify

  $\begin{array}{l}{\left(x+5\right)}^2\\ ={\left(x\right)}^2+2\cdot x\cdot 5+{\left(5\right)}^2\\ =x^2+10x+25\end{array}$