Respuesta :

x^3 − 1331
x^3 − 11^3
=(x - 11)(x^2 + 11x + 121)

answer
x − 11

Answer:

x-11

Step-by-step explanation:

[tex]x^3 − 1331[/tex]

1331 can be written as 11^3

We apply a^3 - b^3 formula to the factor

[tex](a^3-b^3)= (a-b)(a^2+ab+b^2)[/tex]

[tex]x^3 − 11^3[/tex]

'a' is x  and 'b' is 11

Replace 'a' with x and b with 11

[tex](x^3-11^3)= (x-11)(x^2+11x+11^2)[/tex]

So one of the factor is (x-11)