Determine ƒ(a + h) for ƒ(x) = 2x3. 1. ƒ(a + h) = 8(a3 + h3) 2. ƒ(a + h) = 2(a3 + 3a2h + 3ah2 + h3) 3. ƒ(a + h) = 2(a3 + a2h + ah2 + h3) 4. ƒ(a + h) = 8(a3 + 3a2h + 3ah2 + h3)

No, the answer is not correct

Step-by-step explanation:

In the second step, the student didn’t use the quotient of powers property correctly. They should have subtracted inside the parentheses instead of dividing. This would have left them with x^(4/5). They should have then multiplied this power by ^(1/2) resulting in x^(4/10) which simplified is x^(2/5) which is the correct answer.