a)
b)
c)
d)

If you take a closer look at the expressions you’ve shared, you’ll notice that they can all be simplified using techniques from algebraic identities, particularly those involving differences of squares and greatest common factors. This is key because manipulation of terms can lead you to factor out common elements, therefore making simplification easier.

When dealing with polynomial expressions, don’t rush the process! A common mistake is forgetting to check for signs when combining like terms or overlooking factors that could have been simplified early on. Always double-check each step, and try to write the entire factorization clearly to avoid confusion—especially in multi-variable polynomials!