Find the Product 5jk(3jk+2k)

$5 j k (3 j k + 2 k)$

Step 1

Apply the distributive property.

$5 j k (3 j k) + 5 j k (2 k)$

Step 2

Multiply $j$ by $j$ by adding the exponents.

Move $j$ .

$5 (j \cdot j) k (3 k) + 5 j k (2 k)$

Multiply $j$ by $j$ .

$5 j^{2} k (3 k) + 5 j k (2 k)$

$5 j^{2} k (3 k) + 5 j k (2 k)$

Step 3

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

Move $k$ .

$5 j^{2} k (3 k) + 5 j (k \cdot k) \cdot 2$

Multiply $k$ by $k$ .

$5 j^{2} k (3 k) + 5 j k^{2} \cdot 2$

$5 j^{2} k (3 k) + 5 j k^{2} \cdot 2$

Step 4

Simplify each term.

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

Move $k$ .

$5 j^{2} (k \cdot k) \cdot 3 + 5 j k^{2} \cdot 2$

Multiply $k$ by $k$ .

$5 j^{2} k^{2} \cdot 3 + 5 j k^{2} \cdot 2$

$5 j^{2} k^{2} \cdot 3 + 5 j k^{2} \cdot 2$

Multiply $3$ by $5$ .

$15 j^{2} k^{2} + 5 j k^{2} \cdot 2$

Multiply $2$ by $5$ .

$15 j^{2} k^{2} + 10 j k^{2}$

$15 j^{2} k^{2} + 10 j k^{2}$

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