Simplify (6x+5)^2

${(6 x + 5)}^{2}$

Step 1

Rewrite ${(6 x + 5)}^{2}$ as $(6 x + 5) (6 x + 5)$ .

$(6 x + 5) (6 x + 5)$

Step 2

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

Apply the distributive property.

$6 x (6 x + 5) + 5 (6 x + 5)$

Apply the distributive property.

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

Apply the distributive property.

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

Step 3

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $6$ by $6$ .

$36 x^{2} + 6 x \cdot 5 + 5 (6 x) + 5 \cdot 5$

Multiply $5$ by $6$ .

$36 x^{2} + 30 x + 5 (6 x) + 5 \cdot 5$

Multiply $6$ by $5$ .

$36 x^{2} + 30 x + 30 x + 5 \cdot 5$

Multiply $5$ by $5$ .

$36 x^{2} + 30 x + 30 x + 25$

Add $30 x$ and $30 x$ .

$36 x^{2} + 60 x + 25$