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

Jul 8, 2015

just use distributive property of multiplication

#### Explanation:

Distributive property states the following
sum of two or more number times another number is equal to sum of each multiplied number
eample include
$4 \cdot \left(6 + 3\right) = 4 \cdot 6 + 4 \cdot 3$

[properties of multiplication]
(http://www.aaamath.com/pro74bx2.htm)

so applying distributive property

$\left(- 2 {x}^{2} + 3 x - 1\right) \left(- 3 {x}^{3}\right)$

$\left(- 3 {x}^{3}\right) \cdot \left(- 2 {x}^{2}\right) + \left(- 3 {x}^{3}\right) \cdot 3 x - \left(- 3 {x}^{3}\right) 1$

$6 {x}^{5} - 9 {x}^{4} + 3 {x}^{3}$

i hope i solved the question
Cheerio!