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

(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

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

Subtract 12k from 3k.

6k2-9k-6

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

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