factor:
x^3+216
you have probably come across the sum of cubes factoring formula
A^3 + B^3 = (A+B)(A^2 - AB + B^2)
since x^3 + 216
= x^3 + 6^3
let me know what you got.
(x+6)(x^2-6x+36)
thanks!
To factor the expression x^3 + 216, we can use the formula for factoring a sum of two cubes, which is a^3 + b^3 = (a + b)(a^2 - ab + b^2).
In this case, a is x, and b is 6 (since 6^3 = 216). So we can rewrite the expression as:
x^3 + 6^3
Using the formula, we can factor it as:
(x + 6)(x^2 - 6x + 36)
So the factored form of x^3 + 216 is (x + 6)(x^2 - 6x + 36).