Simplify 6.5k(2k-18)+19

$6.5 k (2 k - 18) + 19$

Step 1

Apply the distributive property.

$6.5 k (2 k) + 6.5 k \cdot - 18 + 19$

Step 2

Rewrite using the commutative property of multiplication.

$6.5 \cdot 2 k \cdot k + 6.5 k \cdot - 18 + 19$

Step 3

Multiply $- 18$ by $6.5$ .

$6.5 \cdot 2 k \cdot k - 117 k + 19$

Step 4

Simplify each term.

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

Move $k$ .

$6.5 \cdot 2 (k \cdot k) - 117 k + 19$

Multiply $k$ by $k$ .

$6.5 \cdot 2 k^{2} - 117 k + 19$

Multiply $6.5$ by $2$ .

$13 k^{2} - 117 k + 19$