1 + 2x - 8x^3 - 16x^4

It's already simplified, but if you want to factor it, try this:

1 + 2x - 8x^3 - 16x^4
(1+2x)* 1 - (1+2x)*8x^3
(1+2x)(1-8x^3)
(1+2x)(1-2x)(1+2x+4x^2)

Ans

Simplify

To simplify the expression 1 + 2x - 8x^3 - 16x^4, we can rearrange the terms in descending order of the exponents of x:

-16x^4 - 8x^3 + 2x + 1

Now, let's combine the like terms. The like terms are the ones with the same exponent of x:

-16x^4 - 8x^3 + 2x + 1

This is our simplified expression. There aren't any like terms to combine further.