Simplify (3x-2y)(y+2x)

Math
(3x-2y)(y+2x)
Expand (3x-2y)(y+2x) using the FOIL Method.
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Apply the distributive property.
3x(y+2x)-2y(y+2x)
Apply the distributive property.
3xy+3x(2x)-2y(y+2x)
Apply the distributive property.
3xy+3x(2x)-2y⋅y-2y(2x)
3xy+3x(2x)-2y⋅y-2y(2x)
Simplify and combine like terms.
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Simplify each term.
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Multiply x by x.
3xy+3⋅2×2-2y⋅y-2y(2x)
Multiply 3 by 2.
3xy+6×2-2y⋅y-2y(2x)
Multiply y by y by adding the exponents.
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Move y.
3xy+6×2-2(y⋅y)-2y(2x)
Multiply y by y.
3xy+6×2-2y2-2y(2x)
3xy+6×2-2y2-2y(2x)
Rewrite using the commutative property of multiplication.
3xy+6×2-2y2-2⋅2(yx)
Multiply -2 by 2.
3xy+6×2-2y2-4yx
3xy+6×2-2y2-4yx
Subtract 4yx from 3xy.
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Move y.
6×2-2y2+3xy-4xy
Subtract 4xy from 3xy.
6×2-2y2-xy
6×2-2y2-xy
6×2-2y2-xy
Simplify (3x-2y)(y+2x)

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