Simplify (2a-y)^2-2a+y

Math
(2a-y)2-2a+y
Rewrite (2a-y)2 as (2a-y)(2a-y).
(2a-y)(2a-y)-2a+y
Expand (2a-y)(2a-y) using the FOIL Method.
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Apply the distributive property.
2a(2a-y)-y(2a-y)-2a+y
Apply the distributive property.
2a(2a)+2a(-y)-y(2a-y)-2a+y
Apply the distributive property.
2a(2a)+2a(-y)-y(2a)-y(-y)-2a+y
2a(2a)+2a(-y)-y(2a)-y(-y)-2a+y
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
2⋅2a2+2a(-y)-y(2a)-y(-y)-2a+y
Multiply 2 by 2.
4a2+2a(-y)-y(2a)-y(-y)-2a+y
Rewrite using the commutative property of multiplication.
4a2+2⋅-1(ay)-y(2a)-y(-y)-2a+y
Multiply 2 by -1.
4a2-2(ay)-y(2a)-y(-y)-2a+y
Rewrite using the commutative property of multiplication.
4a2-2ay-1⋅2(ya)-y(-y)-2a+y
Multiply -1 by 2.
4a2-2ay-2(ya)-y(-y)-2a+y
Multiply y by y.
4a2-2ay-2ya-1⋅-1y2-2a+y
Multiply -1 by -1.
4a2-2ay-2ya+1y2-2a+y
Multiply y2 by 1.
4a2-2ay-2ya+y2-2a+y
4a2-2ay-2ya+y2-2a+y
Subtract 2ya from -2ay.
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Move y.
4a2-2ay-2ay+y2-2a+y
Subtract 2ay from -2ay.
4a2-4ay+y2-2a+y
4a2-4ay+y2-2a+y
4a2-4ay+y2-2a+y
Simplify (2a-y)^2-2a+y

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