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

$(k + 4) (3 k - 4)$

Step 1

Expand $(k + 4) (3 k - 4)$ using the FOIL Method.

Apply the distributive property.

$k (3 k - 4) + 4 (3 k - 4)$

Apply the distributive property.

$k (3 k) + k \cdot - 4 + 4 (3 k - 4)$

Apply the distributive property.

$k (3 k) + k \cdot - 4 + 4 (3 k) + 4 \cdot - 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 k \cdot k + k \cdot - 4 + 4 (3 k) + 4 \cdot - 4$

Multiply $k$ by $k$ by adding the exponents.

Move $k$ .

$3 (k \cdot k) + k \cdot - 4 + 4 (3 k) + 4 \cdot - 4$

Multiply $k$ by $k$ .

$3 k^{2} + k \cdot - 4 + 4 (3 k) + 4 \cdot - 4$

Move $- 4$ to the left of $k$ .

$3 k^{2} - 4 \cdot k + 4 (3 k) + 4 \cdot - 4$

Multiply $3$ by $4$ .

$3 k^{2} - 4 k + 12 k + 4 \cdot - 4$

Multiply $4$ by $- 4$ .

$3 k^{2} - 4 k + 12 k - 16$

Add $- 4 k$ and $12 k$ .

$3 k^{2} + 8 k - 16$