Simplify (2c-5)(7c+4)

Math
(2c-5)(7c+4)
Expand (2c-5)(7c+4) using the FOIL Method.
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Apply the distributive property.
2c(7c+4)-5(7c+4)
Apply the distributive property.
2c(7c)+2c⋅4-5(7c+4)
Apply the distributive property.
2c(7c)+2c⋅4-5(7c)-5⋅4
2c(7c)+2c⋅4-5(7c)-5⋅4
Simplify and combine like terms.
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Simplify each term.
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Multiply c by c.
2⋅7c2+2c⋅4-5(7c)-5⋅4
Multiply 2 by 7.
14c2+2c⋅4-5(7c)-5⋅4
Multiply 4 by 2.
14c2+8c-5(7c)-5⋅4
Multiply 7 by -5.
14c2+8c-35c-5⋅4
Multiply -5 by 4.
14c2+8c-35c-20
14c2+8c-35c-20
Subtract 35c from 8c.
14c2-27c-20
14c2-27c-20
Simplify (2c-5)(7c+4)

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