Factor s^2-10s+25

$s^{2} - 10 s + 25$

Step 1

Rewrite $25$ as $5^{2}$ .

$s^{2} - 10 s + 5^{2}$

Step 2

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

$10 s = 2 \cdot s \cdot 5$

Step 3

Rewrite the polynomial.

$s^{2} - 2 \cdot s \cdot 5 + 5^{2}$

Step 4

Factor using the perfect square trinomial rule $a^{2} - 2 a b + b^{2} = {(a - b)}^{2}$ , where $a = s$ and $b = 5$ .

${(s - 5)}^{2}$