Which of the following is a factor of 8x3 + 1331? 2x − 11 4x2 + 22x + 121 4x2 − 44x + 121 none of the above

None of the above  

The step by step solution  

Step 1:

8 x3 - 1331  

(Simplify and rewrite 8 x3 in the multiple of 2) >> (2x)3  

So,

(2x)3 + 1331

Step 2:

Now we know that 1331 is a multiple of 11, simplify and Rewrite 1331 as (11)3

>>>

(2x)3+113

Step 3:

Using the expression:

a3+b3=(a+b)(a2−ab+b2) >>>

where a=2x and b=11  

(2x+11)[(2x)2−(2x)⋅11+112]

Step 4 :

Simplifying the above equation would give:

The final answer would be:

(2x+11) (4x2−22x+121)