Show all work. Find the following product: (y-1)^2
first write \[(y-1)(y-1)\] then do 4 multiplications
\[\large (y-1)^2\] \[\large (y)(y)+(y)(-1)+(-1)(y)+(-1)(-1)\] \[\large y^2-y-y+1\] \[\large y^2-2y+1\] So \[\large (y-1)^2=y^2-2y+1\]
with a little practice you will see that \[(a+b)^2=a^2+2ab+b^2\] and \[(a-b)^2=a^2+2ab+b^2\]but for now it is probably best to write out all 4 multiplications and combine like terms as jimthompson did
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