Question

find the binomial that completes the factorization.
$t^3 + 8 = \left(\square\
ight)(t^2 - 2t + 4)$

Explanation:

Step1: Recognize sum of cubes

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

Step2: Match to given expression

Here $t^3+8=t^3+2^3$, so $a=t$, $b=2$

Step3: Identify missing binomial

The first factor is $a+b = t+2$

Answer:

$t+2$