Simplify (3k-6)(2k+1)

Math
(3k-6)(2k+1)
Expand (3k-6)(2k+1) using the FOIL Method.
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Apply the distributive property.
3k(2k+1)-6(2k+1)
Apply the distributive property.
3k(2k)+3k⋅1-6(2k+1)
Apply the distributive property.
3k(2k)+3k⋅1-6(2k)-6⋅1
3k(2k)+3k⋅1-6(2k)-6⋅1
Simplify and combine like terms.
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Simplify each term.
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Multiply k by k.
3⋅2k2+3k⋅1-6(2k)-6⋅1
Multiply 3 by 2.
6k2+3k⋅1-6(2k)-6⋅1
Multiply 3 by 1.
6k2+3k-6(2k)-6⋅1
Multiply 2 by -6.
6k2+3k-12k-6⋅1
Multiply -6 by 1.
6k2+3k-12k-6
6k2+3k-12k-6
Subtract 12k from 3k.
6k2-9k-6
6k2-9k-6
Simplify (3k-6)(2k+1)

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