Question

factor the binomial.

\\(t^3 + 27 =\\)

Explanation:

Identify the binomial structure

$$ t^3 + 27 = t^3 + 3^3 $$

Apply the sum of cubes formula

$$ a^3 + b^3 = (a + b)(a^2 - ab + b^2) $$

Substitute values into the formula

$$ t^3 + 3^3 = (t + 3)(t^2 - 3t + 9) $$

Answer:

Factor the binomial.
\(t^3 + 27 =\) <blank>\((t + 3)(t^2 - 3t + 9)\)</blank>