Write in Standard Form (3b-4)(b+2)

$(3 b - 4) (b + 2)$

Step 1

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

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

Step 2

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

Apply the distributive property.

$3 b (b + 2) - 4 (b + 2)$

Apply the distributive property.

$3 b \cdot b + 3 b \cdot 2 - 4 (b + 2)$

Apply the distributive property.

$3 b \cdot b + 3 b \cdot 2 - 4 b - 4 \cdot 2$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $b$ by $b$ by adding the exponents.

Move $b$ .

$3 (b \cdot b) + 3 b \cdot 2 - 4 b - 4 \cdot 2$

Multiply $b$ by $b$ .

$3 b^{2} + 3 b \cdot 2 - 4 b - 4 \cdot 2$

Multiply $2$ by $3$ .

$3 b^{2} + 6 b - 4 b - 4 \cdot 2$

Multiply $- 4$ by $2$ .

$3 b^{2} + 6 b - 4 b - 8$

Subtract $4 b$ from $6 b$ .

$3 b^{2} + 2 b - 8$