Simplify (4x-8y)^2

Math
(4x-8y)2
Rewrite (4x-8y)2 as (4x-8y)(4x-8y).
(4x-8y)(4x-8y)
Expand (4x-8y)(4x-8y) using the FOIL Method.
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Apply the distributive property.
4x(4x-8y)-8y(4x-8y)
Apply the distributive property.
4x(4x)+4x(-8y)-8y(4x-8y)
Apply the distributive property.
4x(4x)+4x(-8y)-8y(4x)-8y(-8y)
4x(4x)+4x(-8y)-8y(4x)-8y(-8y)
Simplify and combine like terms.
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Simplify each term.
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Multiply x by x.
4⋅4×2+4x(-8y)-8y(4x)-8y(-8y)
Multiply 4 by 4.
16×2+4x(-8y)-8y(4x)-8y(-8y)
Rewrite using the commutative property of multiplication.
16×2+4⋅-8(xy)-8y(4x)-8y(-8y)
Multiply 4 by -8.
16×2-32(xy)-8y(4x)-8y(-8y)
Rewrite using the commutative property of multiplication.
16×2-32xy-8⋅4(yx)-8y(-8y)
Multiply -8 by 4.
16×2-32xy-32(yx)-8y(-8y)
Multiply y by y.
16×2-32xy-32yx-8⋅-8y2
Multiply -8 by -8.
16×2-32xy-32yx+64y2
16×2-32xy-32yx+64y2
Subtract 32yx from -32xy.
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Move y.
16×2-32xy-32xy+64y2
Subtract 32xy from -32xy.
16×2-64xy+64y2
16×2-64xy+64y2
16×2-64xy+64y2
Simplify (4x-8y)^2
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