Factor m+(p-1)^2

Math
m+(p-1)2
Rewrite (p-1)2 as (p-1)(p-1).
m+(p-1)(p-1)
Expand (p-1)(p-1) using the FOIL Method.
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Apply the distributive property.
m+p(p-1)-1(p-1)
Apply the distributive property.
m+p⋅p+p⋅-1-1(p-1)
Apply the distributive property.
m+p⋅p+p⋅-1-1p-1⋅-1
m+p⋅p+p⋅-1-1p-1⋅-1
Simplify and combine like terms.
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Simplify each term.
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Multiply p by p.
m+p2+p⋅-1-1p-1⋅-1
Move -1 to the left of p.
m+p2-1⋅p-1p-1⋅-1
Rewrite -1p as -p.
m+p2-p-1p-1⋅-1
Rewrite -1p as -p.
m+p2-p-p-1⋅-1
Multiply -1 by -1.
m+p2-p-p+1
m+p2-p-p+1
Subtract p from -p.
m+p2-2p+1
m+p2-2p+1
Factor m+(p-1)^2

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