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

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Answer 1 · 2016-11-30T18:24:33

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

#(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)#