Question

Question 26 The problem is to Factor Completely: x4 -81. The student's answer is (x² + 9) (x²-9). This is not correct. Explain what the student needs to do in order to have a correct final answer. Edit View Insert Format Tools Table 12pt v Paragraph v BIUAV DVT² V 0 > J 3 pts ***​

Answer 1

See below

Explanation:

`x^4-81\\=(x^2)^2-9^2\\=(x^2+9)(x^2-9)\\=(x^2+9)(x+3)(x-3)`

The student forgot to factor
`x^2-9` into
`(x+3)(x-3)` but was on the right track.