Question

factories :
a^4-1
please answer fast ​

Answer 1

We can express (x4 – 1) as

(a2-b2)= (a+b) (a-b)

where a = x2 and b = 1. So we have,

(x4 – 1) = ((x2)2– 12) = (x2 + 1)(x2 – 1)

The factor (x2 – 1) can be further factorised using the same Identity where a = x and b = 1.

(x4 – 1) = (x2 + 1)((x)2 –(1)2)

= (x2 + 1)(x + 1)(x – 1)

Answer 2

Answer:

(a^2 - 1)(a^2 + 1)

=((a -1)(a+1))(a^2 + 1)