Write in Standard Form y=(x+2)^2

$y = {(x + 2)}^{2}$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$y = a x^{2} + b x + c$

Step 2

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

$y = (x + 2) (x + 2)$

Step 3

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

Apply the distributive property.

$y = x (x + 2) + 2 (x + 2)$

Apply the distributive property.

$y = x \cdot x + x \cdot 2 + 2 (x + 2)$

Apply the distributive property.

$y = x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2$

Step 4

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$y = x^{2} + x \cdot 2 + 2 x + 2 \cdot 2$

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

$y = x^{2} + 2 \cdot x + 2 x + 2 \cdot 2$

Multiply $2$ by $2$ .

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

Add $2 x$ and $2 x$ .

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

Step 5