Question

H.C.F. of x³ - 8 and x⁴ - 16 is:​

Answer 1

Answer:

x³-2³= (x-2)(x²+2x+4)

x⁴-2⁴=(x²)²-(2²)²=(x²+4)(x²-4)=(x²+4)(x+2)(x-2)

Underlined factors are common factors,so highest common factor(HCF) is (x-2)