Let A=x+y+z, ; B=x+y-z, ; C=x-y+z

MATHEMATICS · Subjective · CBSE · Mathematics · We Distribute, Yet Things Multiply · We Distribute, Yet Things Multiply

Problem

Let

A=x+y+z,\; B=x+y-z,\; C=x-y+z.

(i) Calculate and simplify the product

A\,B\,C

so that all like terms are combined. (ii) Evaluate your simplified expression for

x=2,\;y=1,\;z=-1