Simplify (7-v)(2v-3)

(7-v)(2v-3)

Expand (7-v)(2v-3) using the FOIL Method.

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Apply the distributive property.

7(2v-3)-v(2v-3)

Apply the distributive property.

7(2v)+7⋅-3-v(2v-3)

Apply the distributive property.

7(2v)+7⋅-3-v(2v)-v⋅-3

Simplify and combine like terms.

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Simplify each term.

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Multiply 2 by 7.

14v+7⋅-3-v(2v)-v⋅-3

Multiply 7 by -3.

14v-21-v(2v)-v⋅-3

Multiply v by v.

14v-21-1⋅2v2-v⋅-3

Multiply -1 by 2.

14v-21-2v2-v⋅-3

Multiply -3 by -1.

14v-21-2v2+3v

Add 14v and 3v.

17v-21-2v2

Move -21.

17v-2v2-21

Reorder 17v and -2v2.

-2v2+17v-21

Simplify (7-v)(2v-3)

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