Respuesta :
The product of 2x⁴(2x² + 3x + 4) is gotten as
4x^(6) + 6x^(5) + 8x⁴
We are given;
2x⁴(2x² + 3x + 4)
Now,to find the product means we are using distributive property of algebra which is;
a(b + c) = ab + ac
Thus, applying that property to our equation gives;
(2x⁴ × 2x²) + (2x⁴ × 3x) + (2x⁴ × 4)
>> 4x^(6) + 6x^(5) + 8x⁴
In conclusion, the product of 2x⁴(2x² + 3x + 4) gives 4x^(6) + 6x^(5) + 8x⁴
Read more about distributive properties here at; https://brainly.com/question/2807928