Question

. Simplify:
(x⁴ - 16) ÷ (x³ + 2x² + 4x+8).​

Answer 1

Answer:

(x^4-16)=(x^2-4)(x^2+4)

=(x-2)(x+2)(x^2+4)

x^3+2x^2+4x+8=x^2(x+2)+4(x+2)

=(x^2+4)(x+2)

(x^4-16)/(x^3+2x^2+4x+8)

=(x-2)(x+2)(x^2+4)/(x^2+4)(x+2)

=(x-2)