Answer:
[tex]x^2-10x+25[/tex]
Step-by-step explanation:
We have been given an expression [tex]x^2-10x+[/tex]. We are asked to convert our given expression into perfect-square trinomial.
We know that an equation in form [tex]x^2+bx+c[/tex] is a perfect square, if [tex]c=(\frac{b}{2})^2[/tex]
To convert our given expression into perfect-square trinomial, we need to add [tex](\frac{10}{2})^2[/tex] to our given expression.
[tex](\frac{10}{2})^2=5^2=25[/tex]
Therefore, our perfect square trianominal would be [tex]x^2-10x+25[/tex].
