Simplify (k-6)(k+8)

$(k - 6) (k + 8)$

Step 1

Expand $(k - 6) (k + 8)$ using the FOIL Method.

Apply the distributive property.

$k (k + 8) - 6 (k + 8)$

Apply the distributive property.

$k \cdot k + k \cdot 8 - 6 (k + 8)$

Apply the distributive property.

$k \cdot k + k \cdot 8 - 6 k - 6 \cdot 8$

$k \cdot k + k \cdot 8 - 6 k - 6 \cdot 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $k$ by $k$ .

$k^{2} + k \cdot 8 - 6 k - 6 \cdot 8$

Move $8$ to the left of $k$ .

$k^{2} + 8 \cdot k - 6 k - 6 \cdot 8$

Multiply $- 6$ by $8$ .

$k^{2} + 8 k - 6 k - 48$

$k^{2} + 8 k - 6 k - 48$

Subtract $6 k$ from $8 k$ .

$k^{2} + 2 k - 48$

$k^{2} + 2 k - 48$

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