Simplify (9k-5)(9k-2)

$(9 k - 5) (9 k - 2)$

Expand $(9 k - 5) (9 k - 2)$ using the FOIL Method.

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Apply the distributive property.

$9 k (9 k - 2) - 5 (9 k - 2)$

Apply the distributive property.

$9 k (9 k) + 9 k \cdot - 2 - 5 (9 k - 2)$

Apply the distributive property.

$9 k (9 k) + 9 k \cdot - 2 - 5 (9 k) - 5 \cdot - 2$

Simplify and combine like terms.

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Simplify each term.

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Multiply $k$ by $k$ .

$9 \cdot 9 k^{2} + 9 k \cdot - 2 - 5 (9 k) - 5 \cdot - 2$

Multiply $9$ by $9$ .

$81 k^{2} + 9 k \cdot - 2 - 5 (9 k) - 5 \cdot - 2$

Multiply $- 2$ by $9$ .

$81 k^{2} - 18 k - 5 (9 k) - 5 \cdot - 2$

Multiply $9$ by $- 5$ .

$81 k^{2} - 18 k - 45 k - 5 \cdot - 2$

Multiply $- 5$ by $- 2$ .

$81 k^{2} - 18 k - 45 k + 10$

Subtract $45 k$ from $- 18 k$ .

$81 k^{2} - 63 k + 10$

Simplify (9k-5)(9k-2)

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