How do you multiply (4x-2)(4x+2)(4x2)(4x+2)?

1 Answer
Mar 28, 2018

Multiply each factor with each factor.

Explanation:

(4x-2)(4x+2)=4x*4x+4x*2-2*4x-2*2=(4x2)(4x+2)=4x4x+4x224x22=
=4^2x^2+(8-8)x-4=16x^2-4=42x2+(88)x4=16x24

You can remember this formula:
(a+b)(a-b)=a^2-b^2(a+b)(ab)=a2b2

(a-b)(a+b)=a*a+a*b-b*a-b*b=(ab)(a+b)=aa+abbabb=
=a^2+(ab-ba)-b^2=a^2-b^2=a2+(abba)b2=a2b2