2018 · Q19
If a = xy^{p-1} , b = yz^{q-1} , c = zx^{r-1} , then a^{q-r}b^{r-p}c^{p-q} is equal to
Elementary MathematicsAlgebra
- Aabc
- Bxyz
- C0
- DNone of the above
Explanation
Collecting the exponents of x, y and z in a^(q-r) b^(r-p) c^(p-q) does not reduce to 1 in general (e.g. x=2,y=3,z=5,p=1,q=2,r=3 gives 5.625). It is likewise not identically xyz, 0, or abc. Hence none of the listed forms is correct: option D.