Given the expression:
[tex]\text{ (x + 25)}^2[/tex]
Let's expand the expression into a perfect square trinomial.
[tex]ax^2\text{ + bx + c}[/tex]
We get,
[tex]\text{ (x + 25)}^2[/tex][tex](x)(x)\text{ + (25)(x) + (x)(25) + (25)(25)}[/tex]
[tex]\text{ x}^2\text{ + 25x + 25x + 625}[/tex][tex]\text{ x}^2\text{ + 50x + 625}[/tex]
Since the c-value in the perfect square trinomial is the constant in the equation, therefore, the c-value is 625.
