VRAE oor vraestel 1: Algebraiese breuke - vereenvoudiging met trick

Hi Leane

Dankie vir jou vraag/bewerking. Die onderkant is afgesny, so ek kan nie jou finale antwoord sien nie, maar ek vermoed jou antwoord was reg. Het jy dalk punte verloor, omdat jy nie al jou stappe geskryf het nie?

By hierdie som gebruik ons die trick om die hakies dieselfde te maak, want

open parentheses x minus y close parentheses not equal to open parentheses y minus x close parentheses

. Click hier as jy weer die video oor die trick wil kyk.

Daar is twee maniere om die som te doen. Hierdie is jou manier:

table row cell space space space fraction numerator 3 x minus 3 y over denominator open parentheses y minus x close parentheses squared end fraction end cell blank blank blank row cell equals fraction numerator 3 open parentheses x minus y close parentheses over denominator open parentheses y minus x close parentheses squared end fraction end cell blank blank cell GGF space faktorisering space in space die space teller end cell row cell equals fraction numerator 3 open parentheses x minus y close parentheses over denominator open square brackets negative open parentheses x minus y close parentheses close square brackets squared end fraction end cell blank blank cell Trick space om space hakies space dieselfde space te space maak asterisk times asterisk times end cell row cell equals fraction numerator 3 open parentheses x minus y close parentheses over denominator open parentheses x minus y close parentheses squared end fraction end cell blank blank Vereenvoudig row cell equals fraction numerator 3 up diagonal strike open parentheses x minus y close parentheses end strike over denominator open parentheses x minus y close parentheses up diagonal strike open parentheses x minus y close parentheses end strike end fraction end cell blank blank cell Kanselleer space uit end cell row cell equals fraction numerator 3 over denominator open parentheses x minus y close parentheses end fraction end cell blank blank blank end table asterisk times asterisk times open square brackets negative open parentheses x minus y close parentheses close square brackets squared equals open square brackets negative 1 open parentheses x minus y close parentheses close square brackets squared equals open parentheses negative 1 close parentheses squared open parentheses x minus y close parentheses squared equals open parentheses plus 1 close parentheses open parentheses x minus y close parentheses squared equals open parentheses x minus y close parentheses squared

Hierdie is 'n ander manier:

table attributes columnalign left center center left end attributes row cell fraction numerator 3 x minus 3 y over denominator open parentheses y minus x close parentheses squared end fraction end cell blank blank blank row cell equals fraction numerator 3 open parentheses x minus y close parentheses over denominator open parentheses y minus x close parentheses squared end fraction end cell blank blank cell GGF space faktorisering space in space die space teller end cell row cell equals fraction numerator negative 3 open parentheses y minus x close parentheses over denominator open parentheses y minus x close parentheses squared end fraction end cell blank blank cell Trick space om space hakies space dieselfde space te space maak end cell row cell equals fraction numerator negative 3 up diagonal strike open parentheses y minus x close parentheses end strike over denominator open parentheses y minus x close parentheses up diagonal strike open parentheses y minus x close parentheses end strike end fraction end cell blank blank cell Kanselleer space uit end cell row cell equals fraction numerator negative 3 over denominator y minus x end fraction end cell blank blank blank row cell equals fraction numerator negative 3 over denominator negative open parentheses x minus y close parentheses end fraction end cell blank blank cell Trick space om space x space eerste space te space laat space staan end cell row cell equals fraction numerator 3 over denominator x minus y end fraction end cell blank blank blank end table

Laat weet my asb as enige iets onduidelik is - ek kan vir jou nog 'n video maak om dit meer/beter te verduidelik.

M