Problem 39 of 7
Prove the difference-of-squares identity for 36a^2-49b^2.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
multiply conjugates.
Hidden until you reveal it.
Use conjugate factors and cancellation of middle terms.
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 two squared terms.
2. Write conjugate factors.
3. Expand or explain middle-term cancellation.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Applying difference of squares to sums of squares over reals.