# How do you simplify (5rs-1t^3)(-3r^2st)?

May 20, 2017

$- 15 {r}^{3} {s}^{2} t + 3 {r}^{2} s {t}^{4}$

#### Explanation:

Did you mean expanding the brackets? Or if you actually meant simplifying, please contact me.

You have to multiply each term in the first bracket by the second bracket.

Note : To multiply 2 terms with powers, add the powers. For e.g. ${a}^{4} + {a}^{5} = {a}^{4 + 5} = {a}^{9}$

$5 r s \cdot - 3 {r}^{2} s t = - 15 {r}^{3} {s}^{2} t$

$- 1 {t}^{3} = - {t}^{3}$
$- {t}^{3} \cdot - 3 {r}^{2} s t = 3 {r}^{2} s {t}^{4}$

$- 15 {r}^{3} {s}^{2} t + 3 {r}^{2} s {t}^{4}$