How do you multiply (-s^2+5)(s^3-7)?

1 Answer
Apr 4, 2017

-s^5+5s^3+7s^2-35

Explanation:

The general method of distributing two binomials is:

(color(red)a+color(blue)b)(color(green)c+color(purple)d)=color(red)acolor(green)c+color(red)acolor(purple)d+color(blue)bcolor(green)c+color(blue)bcolor(purple)d

So here, distributing everything, we get:

(-s^2+5)(s^3-7)=(-s^2)(s^3)+(-s^2)(-7)+5(s^3)+5(-7)

=-s^5+5s^3+7s^2-35