Question

Factor the sum or difference..... and then chose the correct answer from the options below.

Answer 1

Factor the sum of 27u^3+64 is (3u+4)(9u^2-12u+16)

Option B is correct.

Explanation:

We are given:

27u^3+64

It can be written as:

(3u)^3+(4)^3

The formula used for a^3+b^3 is

a^3 + b^3 = (a+b)(a^2-ab+b^2)

here a = 3u and b = 4

Putting values and finding answer:

(3u)^3+(4)^3 =(3u+4)((3u)^2-(3u)(4)+(4)^2)

(3u)^3+(4)^3 =(3u+4)(9u^2-12u+16)

So, Factor the sum of 27u^3+64 is (3u+4)(9u^2-12u+16)

Option B is correct.