# How do you simplify the product (2x + 1)(4x + 3) and write it in standard form?

Mar 9, 2016

$\left(2 x + 1\right) \left(4 x + 3\right) = 8 {x}^{2} + 10 x + 3$

#### Explanation:

We will use the distributive property $a \left(b + c\right) = a b + a c$ and the commutative property $a b = b a$

$\left(2 x + 1\right) \left(4 x + 3\right) = \left(2 x + 1\right) \cdot 4 x + \left(2 x + 1\right) \cdot 3$

$= 4 x \left(2 x + 1\right) + 3 \left(2 x + 1\right)$

$= 4 x \cdot 2 x + 4 x \cdot 1 + 3 \cdot 2 x + 3 \cdot 1$

$= 8 {x}^{2} + 4 x + 6 x + 3$

$= 8 {x}^{2} + 10 x + 3$