Problem 54 of 7
Explain complex difference-of-squares reasoning for 9y^2+4.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
recognize b^2=(bi)^2 for negative term.
Hidden until you reveal it.
Expression must be a real sum of squares factored by treating one square as imaginary.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Identify the real square terms.
2. Rewrite the positive square as minus an imaginary square.
3. Apply the difference-of-squares pattern.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Applying real difference of squares directly to a sum.