Simplify (5c+9)(3c-2)

$(5 c + 9) (3 c - 2)$

Expand $(5 c + 9) (3 c - 2)$ using the FOIL Method.

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Apply the distributive property.

$5 c (3 c - 2) + 9 (3 c - 2)$

Apply the distributive property.

$5 c (3 c) + 5 c \cdot - 2 + 9 (3 c - 2)$

Apply the distributive property.

$5 c (3 c) + 5 c \cdot - 2 + 9 (3 c) + 9 \cdot - 2$

Simplify and combine like terms.

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Simplify each term.

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Multiply $c$ by $c$ .

$5 \cdot 3 c^{2} + 5 c \cdot - 2 + 9 (3 c) + 9 \cdot - 2$

Multiply $5$ by $3$ .

$15 c^{2} + 5 c \cdot - 2 + 9 (3 c) + 9 \cdot - 2$

Multiply $- 2$ by $5$ .

$15 c^{2} - 10 c + 9 (3 c) + 9 \cdot - 2$

Multiply $3$ by $9$ .

$15 c^{2} - 10 c + 27 c + 9 \cdot - 2$

Multiply $9$ by $- 2$ .

$15 c^{2} - 10 c + 27 c - 18$

Add $- 10 c$ and $27 c$ .

$15 c^{2} + 17 c - 18$

Simplify (5c+9)(3c-2)

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