The value of (a + 1) (a - 1) (a^2+ 1) is a^4- 1. - Vidyadip

Question

The value of $(a + 1) (a - 1) (a^2+ 1)$ is $a^4- 1.$

✓

Answer

True.
Solution:
We have,
$ (a+1)(a-1)\left(a^2+1\right) $
$ =\left(a^2-1\right)\left(a^2+1\right) $
$ =\left(a^2\right)^2-1^2 $
$ =a^4-1 $

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