# Multiply (4x-5y)^2 (4x-5y)2
Rewrite (4x-5y)2 as (4x-5y)(4x-5y).
(4x-5y)(4x-5y)
Expand (4x-5y)(4x-5y) using the FOIL Method.
Apply the distributive property.
4x(4x-5y)-5y(4x-5y)
Apply the distributive property.
4x(4x)+4x(-5y)-5y(4x-5y)
Apply the distributive property.
4x(4x)+4x(-5y)-5y(4x)-5y(-5y)
4x(4x)+4x(-5y)-5y(4x)-5y(-5y)
Simplify and combine like terms.
Simplify each term.
Multiply x by x.
4⋅4×2+4x(-5y)-5y(4x)-5y(-5y)
Multiply 4 by 4.
16×2+4x(-5y)-5y(4x)-5y(-5y)
Rewrite using the commutative property of multiplication.
16×2+4⋅-5(xy)-5y(4x)-5y(-5y)
Multiply 4 by -5.
16×2-20(xy)-5y(4x)-5y(-5y)
Rewrite using the commutative property of multiplication.
16×2-20xy-5⋅4(yx)-5y(-5y)
Multiply -5 by 4.
16×2-20xy-20(yx)-5y(-5y)
Multiply y by y.
16×2-20xy-20yx-5⋅-5y2
Multiply -5 by -5.
16×2-20xy-20yx+25y2
16×2-20xy-20yx+25y2
Subtract 20yx from -20xy.
Move y.
16×2-20xy-20xy+25y2
Subtract 20xy from -20xy.
16×2-40xy+25y2
16×2-40xy+25y2
16×2-40xy+25y2
Multiply (4x-5y)^2

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