Factor completely s2 2s 1 81q2 s2 2s 1 81q2 Solutions

Factor completely. s^2 - 2s + 1 - 81q^2 s^2 - 2s + 1 - 81q^2 =

s^2 - 2s + 1 - 81q^2

s^2 - 2s + 1 as a quadratic is
(s - 1)(s - 1)
or (s -1)^2

And now, problem becomes....

(s-1)^2 - 81q^2

which is

(s-1)^2 - (9q)^2

Now, using a^2 - b^2 = (a+b)(a-b),
we get :

(s - 1 - 9q)(s - 1 + 9q) ----> ANSWER