Factorize (81b 4 - 18b 2 + 1).
a. (3b 2 + 1) (3b - 1) (3b + 1)
b. (3b - 1) (3b - 1) (3b - 1) (3b - 1)
c. (b - 1) (9b + 1) (b - 1) (9b + 1)
d. (3b + 1) (3b + 1) (3b - 1) (3b - 1)
Factorize (81b4−18b2+1).
81b4−18b2+1=[9b2−1]2=[(3b−1)(3b+1)]2=(3b−1)2(3b+1)2=(3b−1)(3b−1)(3b+1)(3b+1)d.=(3b+1)(3b+1)(3b−1)(3b−1)