Simplify (y-1)^2

Math
(y-1)2
Rewrite (y-1)2 as (y-1)(y-1).
(y-1)(y-1)
Expand (y-1)(y-1) using the FOIL Method.
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Apply the distributive property.
y(y-1)-1(y-1)
Apply the distributive property.
y⋅y+y⋅-1-1(y-1)
Apply the distributive property.
y⋅y+y⋅-1-1y-1⋅-1
y⋅y+y⋅-1-1y-1⋅-1
Simplify and combine like terms.
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Simplify each term.
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Multiply y by y.
y2+y⋅-1-1y-1⋅-1
Move -1 to the left of y.
y2-1⋅y-1y-1⋅-1
Rewrite -1y as -y.
y2-y-1y-1⋅-1
Rewrite -1y as -y.
y2-y-y-1⋅-1
Multiply -1 by -1.
y2-y-y+1
y2-y-y+1
Subtract y from -y.
y2-2y+1
y2-2y+1
Simplify (y-1)^2

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