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

1 Answer
mason m
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#

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