which is a factored form of 27x^3+64?
answer is (3x + 4)(9x^2 - 12x + 16)
using Pascal's triangle
work out
To factor the expression 27x^3 + 64, you can use the formula for factoring the sum of cubes, which is a^3 + b^3 = (a + b)(a^2 - ab + b^2).
In this case, a = 3x and b = 4.
Applying the formula, we have:
27x^3 + 64 = (3x + 4)(9x^2 - 3x*4 + 4^2)
Simplifying the expression, we get:
27x^3 + 64 = (3x + 4)(9x^2 - 12x + 16)
Therefore, the factored form of 27x^3 + 64 is (3x + 4)(9x^2 - 12x + 16).