Simplify (2x+1)(x+1)

$(2 x + 1) (x + 1)$

Step 1

Expand $(2 x + 1) (x + 1)$ using the FOIL Method.

Apply the distributive property.

$2 x (x + 1) + 1 (x + 1)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 1 + 1 (x + 1)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 1 + 1 x + 1 \cdot 1$

$2 x \cdot x + 2 x \cdot 1 + 1 x + 1 \cdot 1$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$2 (x \cdot x) + 2 x \cdot 1 + 1 x + 1 \cdot 1$

Multiply $x$ by $x$ .

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

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

Multiply $2$ by $1$ .

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

Multiply $x$ by $1$ .

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

Multiply $1$ by $1$ .

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

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

Add $2 x$ and $x$ .

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

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

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