Simplify (5x+3)(x+1)

$(5 x + 3) (x + 1)$

Step 1

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

Apply the distributive property.

$5 x (x + 1) + 3 (x + 1)$

Apply the distributive property.

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

Apply the distributive property.

$5 x \cdot x + 5 x \cdot 1 + 3 x + 3 \cdot 1$

$5 x \cdot x + 5 x \cdot 1 + 3 x + 3 \cdot 1$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x$ .

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

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

Multiply $5$ by $1$ .

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

Multiply $3$ by $1$ .

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

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

Add $5 x$ and $3 x$ .

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

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

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