How do you simplify (9r^2s-13rs-5-12r^2s^2)-(4sr^2-11-14r^2s^2)?

1 Answer
Nov 30, 2016

2r^2s^2+5r^2s-13rs+6

Explanation:

(9r^2s-13rs-5-12r^2s^2)-(4sr^2-11-14r^2s^2)

Distribute the negative

=color(blue)(9r^2s)-13rscolor(red)(-5)color(green)(-12r^2s^2)color(blue)(-4sr^2)color(red)(+11)color(green)(+14r^2s^2)

Add like terms

=color(blue)(5r^2s)-13rscolor(red)(+6)color(green)(+2r^2s^2)

Rearrange according to the exponent

=color(green)(2r^2s^2)color(blue)(+5r^2s)-13rscolor(red)(+6)