How do you find the product of (2+v)^2?

2 Answers
Apr 7, 2018

v^2 + 4v + 4

Explanation:

First:

(v+2)^2 = (v+2)(v+2)

Now expand out using FOIL or another method you have been taught...

( color(red)(v) + color(blue)(2) )(color(green)(v) +color(orange)(2) )

=> color(red)(v) color(green)(v) + color(orange)(2) color(red)(v) + color(blue)(2)color(green)(v) + 2xx2

=> v^2 + 4v + 4

Apr 7, 2018

The product of (2+v)^2 is v^2+4v+4.

Explanation:

The formula for squaring a binomial is as follows:
(a+b)^2=a^2+2ab+b^2

Thus,
(2+v)^2
=2^2+2*2*v+v^2
=4+4v+v^2
=v^2+4v+4