Simplify (6k+5)(5k+5)

$(6 k + 5) (5 k + 5)$

Step 1

Expand $(6 k + 5) (5 k + 5)$ using the FOIL Method.

Apply the distributive property.

$6 k (5 k + 5) + 5 (5 k + 5)$

Apply the distributive property.

$6 k (5 k) + 6 k \cdot 5 + 5 (5 k + 5)$

Apply the distributive property.

$6 k (5 k) + 6 k \cdot 5 + 5 (5 k) + 5 \cdot 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$6 \cdot 5 k \cdot k + 6 k \cdot 5 + 5 (5 k) + 5 \cdot 5$

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

Move $k$ .

$6 \cdot 5 (k \cdot k) + 6 k \cdot 5 + 5 (5 k) + 5 \cdot 5$

Multiply $k$ by $k$ .

$6 \cdot 5 k^{2} + 6 k \cdot 5 + 5 (5 k) + 5 \cdot 5$

Multiply $6$ by $5$ .

$30 k^{2} + 6 k \cdot 5 + 5 (5 k) + 5 \cdot 5$

Multiply $5$ by $6$ .

$30 k^{2} + 30 k + 5 (5 k) + 5 \cdot 5$

Multiply $5$ by $5$ .

$30 k^{2} + 30 k + 25 k + 5 \cdot 5$

Multiply $5$ by $5$ .

$30 k^{2} + 30 k + 25 k + 25$

Add $30 k$ and $25 k$ .

$30 k^{2} + 55 k + 25$