Multiply (5a+6b)(5a-6b)

$(5 a + 6 b) (5 a - 6 b)$

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

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Apply the distributive property.

$5 a (5 a - 6 b) + 6 b (5 a - 6 b)$

Apply the distributive property.

$5 a (5 a) + 5 a (- 6 b) + 6 b (5 a - 6 b)$

Apply the distributive property.

$5 a (5 a) + 5 a (- 6 b) + 6 b (5 a) + 6 b (- 6 b)$

Simplify and combine like terms.

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Simplify each term.

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Multiply $a$ by $a$ .

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

Multiply $5$ by $5$ .

$25 a^{2} + 5 a (- 6 b) + 6 b (5 a) + 6 b (- 6 b)$

Rewrite using the commutative property of multiplication.

$25 a^{2} + 5 \cdot - 6 (a b) + 6 b (5 a) + 6 b (- 6 b)$

Multiply $5$ by $- 6$ .

$25 a^{2} - 30 (a b) + 6 b (5 a) + 6 b (- 6 b)$

Rewrite using the commutative property of multiplication.

$25 a^{2} - 30 a b + 6 \cdot 5 (b a) + 6 b (- 6 b)$

Multiply $6$ by $5$ .

$25 a^{2} - 30 a b + 30 (b a) + 6 b (- 6 b)$

Multiply $b$ by $b$ .

$25 a^{2} - 30 a b + 30 b a + 6 \cdot - 6 b^{2}$

Multiply $6$ by $- 6$ .

$25 a^{2} - 30 a b + 30 b a - 36 b^{2}$

Add $- 30 a b$ and $30 b a$ .

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Move $b$ .

$25 a^{2} - 30 a b + 30 a b - 36 b^{2}$

Add $- 30 a b$ and $30 a b$ .

$25 a^{2} + 0 - 36 b^{2}$

Add $25 a^{2}$ and $0$ .

$25 a^{2} - 36 b^{2}$

Multiply (5a+6b)(5a-6b)

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