(10x-y)2

Rewrite (10x-y)2 as (10x-y)(10x-y).

(10x-y)(10x-y)

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 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