How do you write the product as a trinomial #(x + 2)(x + 3)#?

1 Answer
Jul 23, 2015

Answer:

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

Explanation:

#(color(red)(x)+color(blue)(2))(x+3)#
#color(white)("XXXX")##= color(red)(x)(x+3) + color(blue)(2)(x+3)#

#color(white)("XXXX")##= color(green)(x(x+3)) + color(orange)(2(x+3))##color(white)("XXXX")#(just changing colors here)

#color(white)("XXXX")##=color(green)( x^2 +3x) + color(orange)(2x +6)#

#color(white)("XXXX")##=x^2 +5x +6#