I was working on the difference of two squares, $125p^2-45q^2$
Writing my answer, $$(5\sqrt{5}p-3\sqrt{5}q)(5\sqrt{5}p+3\sqrt{5}q),$$ onto Pearson, I got a popup that said my answer was equivalent to the correct answer but in incorrect form. Apparently, the correct answer is $$5(5p-3q)(5p+3q).$$
Why is that? I'm failing to see the intuition here.
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