Thursday, 23 May 2013

algebra precalculus - Why is (5sqrt5p3sqrt5q)(5sqrt5p+3sqrt5q)equiv5(5p3q)(5p+3q)?

I was working on the difference of two squares, 125p245q2



Writing my answer, (55p35q)(55p+35q), 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(5p3q)(5p+3q).




Why is that? I'm failing to see the intuition here.

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