How do you multiply (2x - 3)(x^2 + 5^x - 3)(2x3)(x2+5x3)?

1 Answer
Sep 15, 2015

2x^3-3x^2+(2x-3)5^x-6x+92x33x2+(2x3)5x6x+9
color(white)("XXXX")XXXX(although one has to wonder if 5^x5x wasn't meant to be 5x5x)

Explanation:

(color(red)(2x)-color(blue)(3))(x^2+5^x-3)(2x3)(x2+5x3)

=color(red)(2x)(x^2+5^x-3) -color(blue)(3)(x^2+5^x-3)=2x(x2+5x3)3(x2+5x3)

=(color(red)(2x^3+2x*5^x-6x)) - (color(blue)(3x^2+3*5^x-9))=(2x3+2x5x6x)(3x2+35x9)

=2x^3-3x^2+(2x-3)5^x-6x+9=2x33x2+(2x3)5x6x+9