Question

\(A=\dfrac{1997x1996-1}{1995x1997+1996}\)

Answer 1

\(A=\dfrac{1997\times1996-1}{1995\times1997+1996}=\dfrac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}=\dfrac{1995\times1997+1997-1}{1995\times1997+1996}=\dfrac{1995\times1997+1996}{1995\times1997+1996}=1\)

Answer 2

`A=(1997xx1996-1)/(1995xx1997+1996)`

`=(1997xx(1995+1)-1)/(1995xx1997+1996)`

`=(1997xx1995 +1997-1)/(1995xx1997+1996)`

`= (1997xx1995+1996)/(1995xx1997+1996)`

`=1`