Question

Factor the binomial
8a^4 - 8

Answer 1

8(a - 1)(a + 1)(a^2 + 1)

Explanation:

8a^4 = 8 x a^4

8 = 8 x 1

8a^4 - 8 = 8(a^4 - 1)

a^4 - 1

= (a^2)^2 - 1^2

= (a^2 - 1)(a^2 + 1)

a^2 - 1

= a^2 - 1^2

= (a - 1)(a + 1)

8a^4 - 8

= 8(a - 1)(a + 1)(a^2 + 1)

Answer 2

8(a^2 + 1)(a + 1)(a - 1)