Question

& Simplify: (2x-1/2x)sq-(2x+1/2x)(2x-1/2x)​

Answer 1

see below

Step-by-step explanation:

(2x-1/2x)²-(2x-1/2x)(2x+1/2x) =

(2x-1/2x)(2x-1/2x) -(2x-1/2x)(2x+1/2x) =

(2x-1/2x){(2x-1/2x) - (2x+1/2x)} = (ab - ac = a(b-c) distributive property of multiplication over subtraction)

(2x-1/2x){ 2x-1/2x -2x-1/2x} =

(2x-1/2x){ -2/2x} =

(2x-1/2x){-1/x} = (in factorized form)

1-2x/2x^2 (in simplified form)