Question

Show all work. Find the following product:
(y-1)^2

Answer 1

first write
\[(y-1)(y-1)\] then do 4 multiplications

Answer 2

\[\large (y-1)^2\]

\[\large (y)(y)+(y)(-1)+(-1)(y)+(-1)(-1)\]

\[\large y^2-y-y+1\]

\[\large y^2-2y+1\]
So \[\large (y-1)^2=y^2-2y+1\]

Answer 3

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

Answer 4

sorry
\[(a-b)^2=a^2-2ab+b^2\]