# Multiply (4x-9y)(4x+9y) (4x-9y)(4x+9y)
Expand (4x-9y)(4x+9y) using the FOIL Method.
Apply the distributive property.
4x(4x+9y)-9y(4x+9y)
Apply the distributive property.
4x(4x)+4x(9y)-9y(4x+9y)
Apply the distributive property.
4x(4x)+4x(9y)-9y(4x)-9y(9y)
4x(4x)+4x(9y)-9y(4x)-9y(9y)
Simplify and combine like terms.
Simplify each term.
Multiply x by x.
4⋅4×2+4x(9y)-9y(4x)-9y(9y)
Multiply 4 by 4.
16×2+4x(9y)-9y(4x)-9y(9y)
Rewrite using the commutative property of multiplication.
16×2+4⋅9(xy)-9y(4x)-9y(9y)
Multiply 4 by 9.
16×2+36(xy)-9y(4x)-9y(9y)
Rewrite using the commutative property of multiplication.
16×2+36xy-9⋅4(yx)-9y(9y)
Multiply -9 by 4.
16×2+36xy-36(yx)-9y(9y)
Multiply y by y.
16×2+36xy-36yx-9⋅9y2
Multiply -9 by 9.
16×2+36xy-36yx-81y2
16×2+36xy-36yx-81y2
Subtract 36yx from 36xy.
Move y.
16×2+36xy-36xy-81y2
Subtract 36xy from 36xy.
16×2+0-81y2
16×2+0-81y2
Add 16×2 and 0.
16×2-81y2
16×2-81y2
Multiply (4x-9y)(4x+9y)

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