# How do you multiply 6x (x^3 + 5x^2 + 3x + 1)?

May 1, 2018

$6 {x}^{4} + 30 {x}^{3} + 18 {x}^{2} + 6 x$

#### Explanation:

To multiply this, we use the distributive property, as shown here:

Following this image, we expand:
$\left(6 x \cdot {x}^{3}\right) + \left(6 x \cdot 5 {x}^{2}\right) + \left(6 x \cdot 3 x\right) + \left(6 x \cdot 1\right)$

Multiplying all this out, we get:
$6 {x}^{4} + 30 {x}^{3} + 18 {x}^{2} + 6 x$

Hope this helps!