Which of the following is equivalent to (x+1)(3-x)+2x(x-1)? a, -2x+3x-1. b, 3x+3. c, x+2x. d, x+3

1 Answer
Nov 17, 2017

#x^2+3#

Explanation:

#"expand the factors and collect like terms"#

#(color(red)(x+1))(3-x)#

#=color(red)(x)(3-x)color(red)(+1)(3-x)#

#=3x-x^2+3-x#

#rArr(x+1)(3-x)+2x(x-1)#

#=cancel(3x)-x^2+3cancel(-x)+2x^2cancel(-2x)#

#=x^2+3#

#"the closest one is "(d)" but still incorrect"#

#"none of the options "#