Question

(1+a)(1-a)(1+a²)-1+a⁴

Answer 1

(1 + a)(1 - a)(1 + a²) - 1 + a⁴ = (1 - a²)(1 + a²) - 1 + a⁴ = 1 - a⁴ - 1 + a⁴ = 0

Answer 2

To simplify the expression (1+a)(1-a)(1+a²)-1+a⁴, let's expand each term and then combine like terms:

(1+a)(1-a) = 1 - a²

Now we have:

(1 - a²)(1 + a²) - 1 + a⁴

Expanding further:

(1 - a²)(1 + a²) = 1 - a² + a² - a⁴ = 1 - a⁴

Now the expression simplifies to:

1 - a⁴ - 1 + a⁴

The "1" and "-1" terms cancel each other out, leaving:

-a⁴ + a⁴

Finally, we end up with:

0

Therefore, the simplified expression is 0.