How do you simplify the product  (3s - 4)(s - 5)  and write it in standard form?

Aug 15, 2016

$3 {s}^{2} - 19 s + 20$

Explanation:

In simplifying this product we must ensure that each term in the 2nd bracket is multiplied by each term in the 1st bracket.

We can do this as follows.

$\left(\textcolor{red}{3 s - 4}\right) \left(s - 5\right) = \textcolor{red}{3 s} \left(s - 5\right) \textcolor{red}{- 4} \left(s - 5\right)$

multiply out the brackets.

$= 3 {s}^{2} - 15 s - 4 s + 20 = 3 {s}^{2} - 19 s + 20$

which is in standard form.