factor 2x^3+54
I factored it to 2(x^3+27).
can it be factored more or is that it?
I think that's right. but for more reference go on a online genrator or type in your question. Hope this helps, if not let me know! :)
You have correctly factored the expression 2x^3 + 54 as 2(x^3 + 27). Now, let's determine if it can be factored further. To do this, we need to check if the expression inside the parentheses, x^3 + 27, is factorable.
The expression x^3 + 27 is actually a sum of cubes, which means it can be factored using the formula:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
In this case, a is x and b is 3, since 27 can be expressed as 3^3.
Substituting these values into the formula, we get:
x^3 + 27 = (x + 3)(x^2 - 3x + 9)
Therefore, the complete factorization of 2x^3 + 54 is:
2(x + 3)(x^2 - 3x + 9)