Factorization (y ^ 2-1) ^ 2-6 (y ^ 2-1) + 9

Factorization (y ^ 2-1) ^ 2-6 (y ^ 2-1) + 9


(y^2-1)^2-6(y^2-1)+9
Let Y & sup2; - 1 = t
t²-6t+9
=(t-3)²
The original formula = (Y & sup2; - 1-3) & sup2; = (Y & sup2; - 4) & sup2; = {(y + 2) (Y-2)} & sup2;