Simplify (x+1)(x+2)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $2$ to the left of $x$ .

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

Multiply $x$ by $1$ .

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

Multiply $2$ by $1$ .

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

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

Add $2 x$ and $x$ .

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

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

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