Answer:
3x³ +24 = 3(x +2)(x² -2x +4)
Explanation:
You want the factored form of 3x³ +24.
Sum of cubes
The given expression is recognizable as the sum of cubes after a factor of 3 is removed:
3x³ +24 = 3(x³ +8) = 3(x³ +2³)
Factoring
The factors of the sum of cubes are ...
a³ +b³ = (a +b)(a² -ab +b²)
For a=x and b=2, the factored form of the given expression is ...
3x³ +24 = 3(x³ +2³) = 3(x +2)(x² -2x +2²)
3x³ +24 = 3(x +2)(x² -2x +4)
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