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

1 Answer
Alan P.
Sep 15, 2015

#2x^3-3x^2+(2x-3)5^x-6x+9#
#color(white)("XXXX")#(although one has to wonder if #5^x# wasn't meant to be #5x#)

Explanation:

#(color(red)(2x)-color(blue)(3))(x^2+5^x-3)#

#=color(red)(2x)(x^2+5^x-3) -color(blue)(3)(x^2+5^x-3)#

#=(color(red)(2x^3+2x*5^x-6x)) - (color(blue)(3x^2+3*5^x-9))#

#=2x^3-3x^2+(2x-3)5^x-6x+9#

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