# Simplify (10x-y)^2

(10x-y)2
Rewrite (10x-y)2 as (10x-y)(10x-y).
(10x-y)(10x-y)
Expand (10x-y)(10x-y) using the FOIL Method.
Apply the distributive property.
10x(10x-y)-y(10x-y)
Apply the distributive property.
10x(10x)+10x(-y)-y(10x-y)
Apply the distributive property.
10x(10x)+10x(-y)-y(10x)-y(-y)
10x(10x)+10x(-y)-y(10x)-y(-y)
Simplify and combine like terms.
Simplify each term.
Multiply x by x.
10⋅10×2+10x(-y)-y(10x)-y(-y)
Multiply 10 by 10.
100×2+10x(-y)-y(10x)-y(-y)
Rewrite using the commutative property of multiplication.
100×2+10⋅-1(xy)-y(10x)-y(-y)
Multiply 10 by -1.
100×2-10(xy)-y(10x)-y(-y)
Rewrite using the commutative property of multiplication.
100×2-10xy-1⋅10(yx)-y(-y)
Multiply -1 by 10.
100×2-10xy-10(yx)-y(-y)
Multiply y by y.
100×2-10xy-10yx-1⋅-1y2
Multiply -1 by -1.
100×2-10xy-10yx+1y2
Multiply y2 by 1.
100×2-10xy-10yx+y2
100×2-10xy-10yx+y2
Subtract 10yx from -10xy.
Move y.
100×2-10xy-10xy+y2
Subtract 10xy from -10xy.
100×2-20xy+y2
100×2-20xy+y2
100×2-20xy+y2
Simplify (10x-y)^2