Answer:
[tex]x^{2} + 10x + 25[/tex]
Step-by-step explanation:
Let's first re-write the problem expression.
[tex](x +5)^{2} = (x+5) (x+5)[/tex]
Then we apply the distributive property to get
(x + 5)(x+5) = x(x+5) + 5(x+5)
We broke up the first (x+5) to use the x and the 5 to multiply the second (x+5) element... then add them to each other (because of the + sign).
[tex]x(x+5) + 5(x+5) = (x^{2} + 5x) + (5x + 25) = x^{2} + 10x + 25[/tex]
