How do you multiply #(1 + x)(3 + 2x)#?

1 Answer
Aug 29, 2016

Answer:

#2x^2+5x+3#

Explanation:

#"Use the FOIL method for multiplying the two Binomials:"#

enter image source here

#color(orange)((1+x)(3+2x)#

#color(green)("First"rArr(1)(3)=3#

#color(brown)("Outer"rArr(1)(2x)=2x#

#color(purple)("Inner"rArr(x)(3)=3x#

#color(blue)("Last"rArr(x)(2x)=2x^2#

#"Combine all terms"#

#rarr3+2x+3x+2x^2#

#rarr2+5x+2x^2#

#"Rewrite the equation"#

#rArrcolor(violet)(2x^2+5x+2#