Are you good at manipulating?

Algebra Level 2

x=aba+b,y=bcb+c,z=cac+a.x=\dfrac {a-b}{a+b} \quad,\quad y=\dfrac {b-c}{b+c}\quad,\quad z=\dfrac {c-a}{c+a}.

If x,yx,y and zz satisfy the equations above, then express (1+x)(1+y)(1+z)(1x)(1y)(1z)\dfrac {(1+x)(1+y)(1+z)}{(1-x)(1-y)(1-z)}

in terms of a,ba,b and cc.

×

Problem Loading...

Note Loading...

Set Loading...