Simplify (2x+9)(x+1)

$(2 x + 9) (x + 1)$

Step 1

Expand $(2 x + 9) (x + 1)$ using the FOIL Method.

Apply the distributive property.

$2 x (x + 1) + 9 (x + 1)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 1 + 9 (x + 1)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 1 + 9 x + 9 \cdot 1$

$2 x \cdot x + 2 x \cdot 1 + 9 x + 9 \cdot 1$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$2 (x \cdot x) + 2 x \cdot 1 + 9 x + 9 \cdot 1$

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot 1 + 9 x + 9 \cdot 1$

$2 x^{2} + 2 x \cdot 1 + 9 x + 9 \cdot 1$

Multiply $2$ by $1$ .

$2 x^{2} + 2 x + 9 x + 9 \cdot 1$

Multiply $9$ by $1$ .

$2 x^{2} + 2 x + 9 x + 9$

$2 x^{2} + 2 x + 9 x + 9$

Add $2 x$ and $9 x$ .

$2 x^{2} + 11 x + 9$

$2 x^{2} + 11 x + 9$

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