Answer
$(c + 5)^2$
Work Step by Step
We have a quadratic expression in the form of $ax^2 + bx + c$, where $a$, $b$, and $c$ are all real numbers.
To factor this expression, we want to find which factors when multiplied will give us the product of the $a$ and $c$ terms, which is $25$, but when added together will give us the $b$ term, which is $10$. This means that the two factors must both be positive.
Let's look at possible factors:
$5$ and $5$
$25$ and $1$
It looks like the first combination will work. Let's put the factors together:
$(c + 5)(c + 5)$
Let's express the solution in exponent form:
$(c + 5)^2$
