Question

What is the standard form of `y=8(x^2 - 16) (x^2 -16)(x^3 + 8)`?

Answer 1

`color(crimson)(y = 8x^7 - 256x^5 + 64x^4 + 2048x^3 - 2048x^2 + 16394`

Explanation:

`y = 8(x^2 - 16) (x^2-16)(x^3+8)`

`y = 8 (x^4 - 32x^2 + 256)(x^3+8)`

`y = 8 (x^7 - 32x^5 + 256x^3 + 8x^4 - 256x^2 + 2048)`

`color(crimson)(y = 8x^7 - 256x^5 + 64x^4 + 2048x^3 - 2048x^2 + 16394`