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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

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

Multiply $3$ by $1$ .

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

Multiply $x$ by $1$ .

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

Multiply $1$ by $1$ .

$3 x^{2} + 3 x + x + 1$

$3 x^{2} + 3 x + x + 1$

Add $3 x$ and $x$ .

$3 x^{2} + 4 x + 1$

$3 x^{2} + 4 x + 1$

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