Simplify (1+xy)^2

Math
(1+xy)2
Rewrite (1+xy)2 as (1+xy)(1+xy).
(1+xy)(1+xy)
Expand (1+xy)(1+xy) using the FOIL Method.
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Apply the distributive property.
1(1+xy)+xy(1+xy)
Apply the distributive property.
1⋅1+1(xy)+xy(1+xy)
Apply the distributive property.
1⋅1+1(xy)+xy⋅1+xy(xy)
1⋅1+1(xy)+xy⋅1+xy(xy)
Simplify and combine like terms.
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Simplify each term.
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Multiply 1 by 1.
1+1(xy)+xy⋅1+xy(xy)
Multiply xy by 1.
1+xy+xy⋅1+xy(xy)
Multiply x by 1.
1+xy+xy+xy(xy)
Multiply x by x by adding the exponents.
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Move x.
1+xy+xy+x⋅xy⋅y
Multiply x by x.
1+xy+xy+x2y⋅y
1+xy+xy+x2y⋅y
Multiply y by y by adding the exponents.
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Move y.
1+xy+xy+x2(y⋅y)
Multiply y by y.
1+xy+xy+x2y2
1+xy+xy+x2y2
1+xy+xy+x2y2
Add xy and xy.
1+2xy+x2y2
1+2xy+x2y2
Move 1.
2xy+x2y2+1
Reorder 2xy and x2y2.
x2y2+2xy+1
Simplify (1+xy)^2

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