Question

a^2 - 8/a
please answer my question its really urgent​

Answer 1

Step-by-step explanation:

Simplify the following:

a^2 - 8/a

Put each term in a^2 - 8/a over the common denominator a: a^2 - 8/a = a^3/a - 8/a:

a^3/a - 8/a

a^3/a - 8/a = (a^3 - 8)/a:

(a^3 - 8)/a

a^3 - 8 = a^3 - 2^3:

(a^3 - 2^3)/a

Factor the difference of two cubes. a^3 - 2^3 = (a - 2) (a^2 + a 2 + 2^2):

((a - 2) (a^2 + 2 a + 2^2))/a

2^2 = 4:

Answer: ((a - 2) (a^2 + 2 a + 4))/a