How do you evaluate (1+ 2v ) ( 1- 2v )(1+2v)(12v)?

3 Answers
May 20, 2018

Is a notable identity (1+2v)(1-2v)=1-4v^2(1+2v)(12v)=14v2

May 20, 2018

1 - 4v^214v2

Explanation:

Tip: Remember this Algebraic Identity called the difference of squares:
(a+b)(a-b) = a^2 - b^2 (a+b)(ab)=a2b2

sub in a = 1, b = 2v a=1,b=2v

(1+2v)(1-2v) = 1^2 - (2v)^2 = 1 - 4v^2 (1+2v)(12v)=12(2v)2=14v2

1-4v^214v2

Explanation:

(a+b)(a-b)(a+b)(ab) is equal to a^2-b^2a2b2
Here, a=1a=1 and b=2vb=2v
So plug that in and you get 1^2-2^2v^21222v2
Which is equal to 1-4v^214v2