Expanding the left side of the equation, we have:
(x-8)(x^2-7x-8)= x(x^2-7x-8) - 8(x^2-7x-8)= x^3 - 7x^2 - 8x - 8x^2 + 56x + 64= x^3 - 15x^2 + 48x + 64
Therefore, the given equation (x-8)(x^2-7x-8) does not simplify to x^3 - 8x^2.
Expanding the left side of the equation, we have:
(x-8)(x^2-7x-8)
= x(x^2-7x-8) - 8(x^2-7x-8)
= x^3 - 7x^2 - 8x - 8x^2 + 56x + 64
= x^3 - 15x^2 + 48x + 64
Therefore, the given equation (x-8)(x^2-7x-8) does not simplify to x^3 - 8x^2.