Multiply (8c-9d)(8c+9d)

$(8 c - 9 d) (8 c + 9 d)$

Expand $(8 c - 9 d) (8 c + 9 d)$ using the FOIL Method.

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Apply the distributive property.

$8 c (8 c + 9 d) - 9 d (8 c + 9 d)$

Apply the distributive property.

$8 c (8 c) + 8 c (9 d) - 9 d (8 c + 9 d)$

Apply the distributive property.

$8 c (8 c) + 8 c (9 d) - 9 d (8 c) - 9 d (9 d)$

Simplify and combine like terms.

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Simplify each term.

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Multiply $c$ by $c$ .

$8 \cdot 8 c^{2} + 8 c (9 d) - 9 d (8 c) - 9 d (9 d)$

Multiply $8$ by $8$ .

$64 c^{2} + 8 c (9 d) - 9 d (8 c) - 9 d (9 d)$

Rewrite using the commutative property of multiplication.

$64 c^{2} + 8 \cdot 9 (c d) - 9 d (8 c) - 9 d (9 d)$

Multiply $8$ by $9$ .

$64 c^{2} + 72 (c d) - 9 d (8 c) - 9 d (9 d)$

Rewrite using the commutative property of multiplication.

$64 c^{2} + 72 c d - 9 \cdot 8 (d c) - 9 d (9 d)$

Multiply $- 9$ by $8$ .

$64 c^{2} + 72 c d - 72 (d c) - 9 d (9 d)$

Multiply $d$ by $d$ .

$64 c^{2} + 72 c d - 72 d c - 9 \cdot 9 d^{2}$

Multiply $- 9$ by $9$ .

$64 c^{2} + 72 c d - 72 d c - 81 d^{2}$

Subtract $72 d c$ from $72 c d$ .

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Move $d$ .

$64 c^{2} + 72 c d - 72 c d - 81 d^{2}$

Subtract $72 c d$ from $72 c d$ .

$64 c^{2} + 0 - 81 d^{2}$

Add $64 c^{2}$ and $0$ .

$64 c^{2} - 81 d^{2}$

Multiply (8c-9d)(8c+9d)

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