Answer:
The correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.
Step-by-step explanation:
Note: This question is not written in the proper form. It is therefore properly rewritten before answering the question as follows:
Frank thinks that 2x + 3x^2 is the same as 5x^3. Which statement shows that it is NOT the same?
A. 2x+3x^2 = 5x^2
B. 2(6) * 3(6)^2 ≠ 5(6)^3
C. 2x +3x ≠ 5x
D. 2(4) +3(4)^2 ≠ 5 (4)^3
The explanation of the answer in now given as follows:
The answer is determined by verifying which of the options has the same functional form as the functional form in the question and it is NOT disproved.
As it can be seen, only option has the same functional form as the functional form in the question.
Given 2(4) +3(4)^2 ≠ 5 (4)^3
By doing the calculation of each side, we have:
2(4) +3(4)^2 = (2 * 4) + (3 * 4^2) = 56
5 (4)^3 = 5 * 4^3 = 320
Therefore, 2(4) +3(4)^2 ≠ 5 (4)^3
Since the calculation does not disprove that 2(4) +3(4)^2 ≠ 5 (4)^3, the correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.
