Simplify (2c-5d)(6c-d)

Math
(2c-5d)(6c-d)
Expand (2c-5d)(6c-d) using the FOIL Method.
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Apply the distributive property.
2c(6c-d)-5d(6c-d)
Apply the distributive property.
2c(6c)+2c(-d)-5d(6c-d)
Apply the distributive property.
2c(6c)+2c(-d)-5d(6c)-5d(-d)
2c(6c)+2c(-d)-5d(6c)-5d(-d)
Simplify and combine like terms.
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Simplify each term.
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Multiply c by c.
2⋅6c2+2c(-d)-5d(6c)-5d(-d)
Multiply 2 by 6.
12c2+2c(-d)-5d(6c)-5d(-d)
Rewrite using the commutative property of multiplication.
12c2+2⋅-1(cd)-5d(6c)-5d(-d)
Multiply 2 by -1.
12c2-2(cd)-5d(6c)-5d(-d)
Rewrite using the commutative property of multiplication.
12c2-2cd-5⋅6(dc)-5d(-d)
Multiply -5 by 6.
12c2-2cd-30(dc)-5d(-d)
Multiply d by d.
12c2-2cd-30dc-5⋅-1d2
Multiply -5 by -1.
12c2-2cd-30dc+5d2
12c2-2cd-30dc+5d2
Subtract 30dc from -2cd.
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Move d.
12c2-2cd-30cd+5d2
Subtract 30cd from -2cd.
12c2-32cd+5d2
12c2-32cd+5d2
12c2-32cd+5d2
Simplify (2c-5d)(6c-d)

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