Find the LCD (2s)/(s^2-2s+1)

$\frac{2 s}{s^{2} - 2 s + 1}$

Step 1

Factor using the perfect square rule.

Rewrite $1$ as $1^{2}$ .

$\frac{2 s}{s^{2} - 2 s + 1^{2}}$

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

$2 s = 2 \cdot s \cdot 1$

Rewrite the polynomial.

$\frac{2 s}{s^{2} - 2 \cdot s \cdot 1 + 1^{2}}$

Factor using the perfect square trinomial rule $a^{2} - 2 a b + b^{2} = {(a - b)}^{2}$ , where $a = s$ and $b = 1$ .

$\frac{2 s}{{(s - 1)}^{2}}$

Step 2

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

${(s - 1)}^{2}$