Simplify (3t+5)(t+1)

$(3 t + 5) (t + 1)$

Expand $(3 t + 5) (t + 1)$ using the FOIL Method.

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Apply the distributive property.

$3 t (t + 1) + 5 (t + 1)$

Apply the distributive property.

$3 t \cdot t + 3 t \cdot 1 + 5 (t + 1)$

Apply the distributive property.

$3 t \cdot t + 3 t \cdot 1 + 5 t + 5 \cdot 1$

Simplify and combine like terms.

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Simplify each term.

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Multiply $t$ by $t$ by adding the exponents.

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Move $t$ .

$3 (t \cdot t) + 3 t \cdot 1 + 5 t + 5 \cdot 1$

Multiply $t$ by $t$ .

$3 t^{2} + 3 t \cdot 1 + 5 t + 5 \cdot 1$

Multiply $3$ by $1$ .

$3 t^{2} + 3 t + 5 t + 5 \cdot 1$

Multiply $5$ by $1$ .

$3 t^{2} + 3 t + 5 t + 5$

Add $3 t$ and $5 t$ .

$3 t^{2} + 8 t + 5$

Simplify (3t+5)(t+1)

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