# Simplify (-7x-4y)(2x+3y)

(-7x-4y)(2x+3y)
Expand (-7x-4y)(2x+3y) using the FOIL Method.
Apply the distributive property.
-7x(2x+3y)-4y(2x+3y)
Apply the distributive property.
-7x(2x)-7x(3y)-4y(2x+3y)
Apply the distributive property.
-7x(2x)-7x(3y)-4y(2x)-4y(3y)
-7x(2x)-7x(3y)-4y(2x)-4y(3y)
Simplify and combine like terms.
Simplify each term.
Multiply x by x.
-7⋅2×2-7x(3y)-4y(2x)-4y(3y)
Multiply -7 by 2.
-14×2-7x(3y)-4y(2x)-4y(3y)
Rewrite using the commutative property of multiplication.
-14×2-7⋅3(xy)-4y(2x)-4y(3y)
Multiply -7 by 3.
-14×2-21(xy)-4y(2x)-4y(3y)
Rewrite using the commutative property of multiplication.
-14×2-21xy-4⋅2(yx)-4y(3y)
Multiply -4 by 2.
-14×2-21xy-8(yx)-4y(3y)
Multiply y by y.
-14×2-21xy-8yx-4⋅3y2
Multiply -4 by 3.
-14×2-21xy-8yx-12y2
-14×2-21xy-8yx-12y2
Subtract 8yx from -21xy.
Move y.
-14×2-21xy-8xy-12y2
Subtract 8xy from -21xy.
-14×2-29xy-12y2
-14×2-29xy-12y2
-14×2-29xy-12y2
Simplify (-7x-4y)(2x+3y)

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