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

Math
(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
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
14v-21-2v2+3v
Add 14v and 3v.
17v-21-2v2
17v-21-2v2
Move -21.
17v-2v2-21
Reorder 17v and -2v2.
-2v2+17v-21
Simplify (7-v)(2v-3)

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