Question

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

Answer 1

`2x^2+5x+3`

Explanation:

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

`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`