How do you use FOIL to multiply $(x+2)^3$ ?

Question

1435 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-06T00:06:44

FOIL will only get you part of the way,

First + Outside + Inside + Last ...

$(x+2)(x+2) = (x*x)+(x*2)+(2*x)+(2*2)$

$=x^2+2x+2x+4$

$=x^2+4x+4$

Then

$(x^2+4x+4)(x+2)$

$= (x^2+4x+4)*x + (x^2+4x+4)*2$

$=x^3+4x^2+4x + 2x^2+8x+8$

$=x^2+6x^2+12x+8$

How do you use FOIL to multiply (x+2)^3(x+2)^3?