If `alpha,beta` are the roots of the equation`x^2+p x+1=0,gamma,delta` the roots of the equation `x^2+q x+1=0` , then `(alpha-gamma)(alpha+delta)(beta-gamma)(beta+delta)=`

Options

A. `q^2-p^2`
B. `p^2-q^2`
C. `p^2=q^2`
D. none of these

Answer

A