Question Number 104297 by Anindita last updated on 20/Jul/20
$$\frac{\mathrm{3}{a}^{\mathrm{2}} {b}^{\mathrm{3}} {c}}{\mathrm{5}{b}^{\mathrm{4}} {c}}+\frac{\mathrm{6}{xy}^{\mathrm{3}} {z}^{\mathrm{16}} }{\mathrm{10}{x}^{\mathrm{2}} {y}^{\mathrm{2}} {z}^{\mathrm{10}} }\:=\:? \\ $$$$\boldsymbol{\mathrm{Can}}\:\boldsymbol{\mathrm{you}}\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{this}}? \\ $$
Answered by bemath last updated on 20/Jul/20
![((3a^2 )/(5b)) + ((3yz^6 )/(5x)) = (3/5)[(a^2 /b)+((yz^6 )/x)] =(3/5)[((a^2 x+byz^6 )/(bx))]](https://www.tinkutara.com/question/Q104298.png)
$$\frac{\mathrm{3}{a}^{\mathrm{2}} }{\mathrm{5}{b}}\:+\:\frac{\mathrm{3}{yz}^{\mathrm{6}} }{\mathrm{5}{x}}\:=\:\frac{\mathrm{3}}{\mathrm{5}}\left[\frac{{a}^{\mathrm{2}} }{{b}}+\frac{{yz}^{\mathrm{6}} }{{x}}\right] \\ $$$$=\frac{\mathrm{3}}{\mathrm{5}}\left[\frac{{a}^{\mathrm{2}} {x}+{byz}^{\mathrm{6}} }{{bx}}\right] \\ $$