Simplify (k+4)(3k-4)

Math
(k+4)(3k-4)
Expand (k+4)(3k-4) using the FOIL Method.
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Apply the distributive property.
k(3k-4)+4(3k-4)
Apply the distributive property.
k(3k)+k⋅-4+4(3k-4)
Apply the distributive property.
k(3k)+k⋅-4+4(3k)+4⋅-4
k(3k)+k⋅-4+4(3k)+4⋅-4
Simplify and combine like terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
3k⋅k+k⋅-4+4(3k)+4⋅-4
Multiply k by k by adding the exponents.
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Move k.
3(k⋅k)+k⋅-4+4(3k)+4⋅-4
Multiply k by k.
3k2+k⋅-4+4(3k)+4⋅-4
3k2+k⋅-4+4(3k)+4⋅-4
Move -4 to the left of k.
3k2-4⋅k+4(3k)+4⋅-4
Multiply 3 by 4.
3k2-4k+12k+4⋅-4
Multiply 4 by -4.
3k2-4k+12k-16
3k2-4k+12k-16
Add -4k and 12k.
3k2+8k-16
3k2+8k-16
Simplify (k+4)(3k-4)

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