Evaluate 2(x+1)^2

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

Rewrite ${(x + 1)}^{2}$ as $(x + 1) (x + 1)$ .

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

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Multiply $x$ by $1$ .

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

Multiply $x$ by $1$ .

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

Multiply $1$ by $1$ .

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

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

Add $x$ and $x$ .

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

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

Apply the distributive property.

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

Simplify.

Multiply $2$ by $2$ .

$2 x^{2} + 4 x + 2 \cdot 1$

Multiply $2$ by $1$ .

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

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

Related Questions