Simplify (6a+5)(5a+3)

$(6 a + 5) (5 a + 3)$

Step 1

Expand $(6 a + 5) (5 a + 3)$ using the FOIL Method.

Apply the distributive property.

$6 a (5 a + 3) + 5 (5 a + 3)$

Apply the distributive property.

$6 a (5 a) + 6 a \cdot 3 + 5 (5 a + 3)$

Apply the distributive property.

$6 a (5 a) + 6 a \cdot 3 + 5 (5 a) + 5 \cdot 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$6 \cdot 5 a \cdot a + 6 a \cdot 3 + 5 (5 a) + 5 \cdot 3$

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$6 \cdot 5 (a \cdot a) + 6 a \cdot 3 + 5 (5 a) + 5 \cdot 3$

Multiply $a$ by $a$ .

$6 \cdot 5 a^{2} + 6 a \cdot 3 + 5 (5 a) + 5 \cdot 3$

Multiply $6$ by $5$ .

$30 a^{2} + 6 a \cdot 3 + 5 (5 a) + 5 \cdot 3$

Multiply $3$ by $6$ .

$30 a^{2} + 18 a + 5 (5 a) + 5 \cdot 3$

Multiply $5$ by $5$ .

$30 a^{2} + 18 a + 25 a + 5 \cdot 3$

Multiply $5$ by $3$ .

$30 a^{2} + 18 a + 25 a + 15$

Add $18 a$ and $25 a$ .

$30 a^{2} + 43 a + 15$