Problem 39 of 7
Factor polynomial by treating it as quadratic in form: y^(2/3)-4y^(1/3)-21.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
substitute a repeated sub-expression.
Hidden until you reveal it.
Substitute repeated sub-expression and factor the resulting quadratic.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify repeated unit u.
2. Rewrite expression as quadratic in u.
3. Factor and substitute original expression back.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Treating x^4 and x^2 as unrelated powers when quadratic-in-form structure exists.