Write in Standard Form y=(2x+4)(x+3)

$y = (2 x + 4) (x + 3)$

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

Expand $(2 x + 4) (x + 3)$ using the FOIL Method.

Apply the distributive property.

$y = 2 x (x + 3) + 4 (x + 3)$

Apply the distributive property.

$y = 2 x \cdot x + 2 x \cdot 3 + 4 (x + 3)$

Apply the distributive property.

$y = 2 x \cdot x + 2 x \cdot 3 + 4 x + 4 \cdot 3$

Step 3

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$y = 2 (x \cdot x) + 2 x \cdot 3 + 4 x + 4 \cdot 3$

Multiply $x$ by $x$ .

$y = 2 x^{2} + 2 x \cdot 3 + 4 x + 4 \cdot 3$

Multiply $3$ by $2$ .

$y = 2 x^{2} + 6 x + 4 x + 4 \cdot 3$

Multiply $4$ by $3$ .

$y = 2 x^{2} + 6 x + 4 x + 12$

Add $6 x$ and $4 x$ .

$y = 2 x^{2} + 10 x + 12$

Step 4