Simplify (4c+3)(2c+5)

$(4 c + 3) (2 c + 5)$

Expand $(4 c + 3) (2 c + 5)$ using the FOIL Method.

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Apply the distributive property.

$4 c (2 c + 5) + 3 (2 c + 5)$

Apply the distributive property.

$4 c (2 c) + 4 c \cdot 5 + 3 (2 c + 5)$

Apply the distributive property.

$4 c (2 c) + 4 c \cdot 5 + 3 (2 c) + 3 \cdot 5$

Simplify and combine like terms.

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Simplify each term.

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Multiply $c$ by $c$ .

$4 \cdot 2 c^{2} + 4 c \cdot 5 + 3 (2 c) + 3 \cdot 5$

Multiply $4$ by $2$ .

$8 c^{2} + 4 c \cdot 5 + 3 (2 c) + 3 \cdot 5$

Multiply $5$ by $4$ .

$8 c^{2} + 20 c + 3 (2 c) + 3 \cdot 5$

Multiply $2$ by $3$ .

$8 c^{2} + 20 c + 6 c + 3 \cdot 5$

Multiply $3$ by $5$ .

$8 c^{2} + 20 c + 6 c + 15$

Add $20 c$ and $6 c$ .

$8 c^{2} + 26 c + 15$

Simplify (4c+3)(2c+5)

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