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

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

Expand (-7x-4y)(2x+3y) using the FOIL Method.

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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)

Simplify and combine like terms.

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Simplify each term.

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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

Subtract 8yx from -21xy.

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Move y.

-14×2-21xy-8xy-12y2

Subtract 8xy from -21xy.

-14×2-29xy-12y2

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

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