Three consecutive integers have a sum of 75. Find the integers
2 answers:
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The expansion of a perfect square is
In words, the square of a sum of two terms is the sum of the squares of the two terms ( and
), plus twice the product of the two terms (
)
So, when determining if you have a perfect square trinomial, you should have two perfect squares. Note that they don't have to be the first and third term, since you can rearrange terms as you prefer.