a: \(B=\dfrac{\left(x+2\right)^2-\left(x-2\right)^2+16}{2\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{x^2+4x+4-x^2+4x-4+16}{2\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{8\left(x+2\right)}{2\left(x-2\right)\left(x+2\right)}=\dfrac{4}{\left(x-2\right)}\)
b: B=1/2
=>(x-2)=8
=>x=10
c: B nguyên
=>x-2 thuộc {1;-1;2;-2;4;-4}
=>x thuộc {3;1;4;0;6}