Shirts are on sale for $12 at a clothing store. How many shirts can you buy with $48?
2 answers:
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so hmm we're missing a couple of folks, one in each group, to get a perfect square trinomial
now, recall
so.. the middle term of a perfect square trinomial, is really 2 * the other 2 guys
so hmm we can say 2 * x * ? = 4x, thus 2x * ? = 4x, thus cross-multiplying
? = 2
now, for the other, 2 * y * ? = 2y, thus 2y* ? = 2y thus ? = 1
so our guys are 2 and 1
now, bear in mind, all we're doing, is borrowing from our very good friend Mr Zero, 0, so, if we add whatever, we also have to subtract whatever
thus