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factor completely

Z^2-18Z+81-25x^2

I have tried this one several times and just can't seem to get it.

please help

1 answer

this is a variation of the difference of squares

Z^2-18Z+81-25x^2
= (z-9)^2 - (5x)^2
= (z-9+5x)(z-9-5x)
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