Question 672844
Find the perfect square and add its conjugate, where the perfect squares it that number multiplied by itself which produces the difference of squares.
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for example, 4 is the perfect square of 2
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{{{(x+y)^2 - 25z^2}}}
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What multiplied by itself will yield
(x+y)^2, well (x+y) will.  proof: (x+y)(x+y) = (x+y)^2 
so (x+y) is the perfect square
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25z^2, 5z.  proof: 5z(5z) = 25z^2
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{{{highlight_green((x+y) - 5z)}}}
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